Канал: Vcalculation

14. ∫(x+3)√9x²+12x+13 dx

14. ∫(x+3)√9x²+12x+13 dx

13. ∫(2-x)√16-6x-x² dx

13. ∫(2-x)√16-6x-x² dx

15. ∫ e^3x sin5x dx

15. ∫ e^3x sin5x dx

16. ∫ e^4x cos2x dx

16. ∫ e^4x cos2x dx

12. ∫ (x+2) √x²+10x-11 dx

12. ∫ (x+2) √x²+10x-11 dx

2. √(x- α)(β-x) dx

2. √(x- α)(β-x) dx

7. Find the approximate increase in the volume of a sphere when it's radius increases from 2 to 2.1.

7. Find the approximate increase in the volume of a sphere when it's radius increases from 2 to 2.1.

5. A circular copper plate is heated so that it's radius increases from 5 cm to 5.06 cm. Find the a

5. A circular copper plate is heated so that it's radius increases from 5 cm to 5.06 cm. Find the a

6. Find the approximate increase in the surface area of a cube if the edges increases from 10 to 10.

6. Find the approximate increase in the surface area of a cube if the edges increases from 10 to 10.

4. Find an approximate change in 1/x as x changes from 1 to 0.98

4. Find an approximate change in 1/x as x changes from 1 to 0.98

3. Use differentials to approximate the change in x³ as x changes from 5 to 5.01.

3. Use differentials to approximate the change in x³ as x changes from 5 to 5.01.

2. find an approximate change in the volume of a cube of side xm, caused by increasing the sides by

2. find an approximate change in the volume of a cube of side xm, caused by increasing the sides by

1. Compute Δy, dy and Δy - dy when y= x²/2 +3x, x=2 and dx=0.5

1. Compute Δy, dy and Δy - dy when y= x²/2 +3x, x=2 and dx=0.5

2. g) x lim π/2 tan5x / tanx

2. g) x lim π/2 tan5x / tanx

x lim 0 logx/ log cotx

x lim 0 logx/ log cotx

2. f) x lim ∞ x^4 / e^x

2. f) x lim ∞ x^4 / e^x

x lim 0 log sinx / cotx

x lim 0 log sinx / cotx

2.c) x lim π/2 sec7x/sec5x

2.c) x lim π/2 sec7x/sec5x

2.a) x lim ∞ 2x^2+3x/ 1+5x^2

2.a) x lim ∞ 2x^2+3x/ 1+5x^2

2.b) x lim ∞ 3x^2 -5/ 2x^3+4x + 3

2.b) x lim ∞ 3x^2 -5/ 2x^3+4x + 3

1.j) x lim 0 (e^x -1) tanx/x^2

1.j) x lim 0 (e^x -1) tanx/x^2

1.h) xlim0 tanx - x/ x- sinx

1.h) xlim0 tanx - x/ x- sinx

1.i) x lim 0 x-sinx cox/ x^3

1.i) x lim 0 x-sinx cox/ x^3

1. g) x lim 0 x^2 -sin^2 x/ x sinx

1. g) x lim 0 x^2 -sin^2 x/ x sinx

1. f) x lim 0 tan ax/ tan bx

1. f) x lim 0 tan ax/ tan bx

1.e) x lim 1 1-2x+x^2/1+logx-x

1.e) x lim 1 1-2x+x^2/1+logx-x

1.d) x lim 0 e^x +e^-x -2 cosx/ sin²x

1.d) x lim 0 e^x +e^-x -2 cosx/ sin²x

1. c) x lim 0 e^x -x -1/x²

1. c) x lim 0 e^x -x -1/x²

1.b) x lim1 x⁴-3x³+2/2x³-5x²+3x

1.b) x lim1 x⁴-3x³+2/2x³-5x²+3x

1.a) x lim 2 x³ - 8/x² - 4

1.a) x lim 2 x³ - 8/x² - 4

3. a) x-y+2z=0 x-2y+3z=-1 2x-2y+z=-3 | Row equivalent method

3. a) x-y+2z=0 x-2y+3z=-1 2x-2y+z=-3 | Row equivalent method

3.d) 3x-5z=-7 3x+5y=3 3z-3y=2 | Row equivalent method

3.d) 3x-5z=-7 3x+5y=3 3z-3y=2 | Row equivalent method

11. ∫ (2x+1) √4x²+20x+21 dx

11. ∫ (2x+1) √4x²+20x+21 dx

10. ∫(x-1)√5-4x-x² dx

10. ∫(x-1)√5-4x-x² dx

9. ∫ dx/x+√x²-1

9. ∫ dx/x+√x²-1

8.∫√2ax-x² dx

8.∫√2ax-x² dx

7. ∫√4x²-4x+5 dx

7. ∫√4x²-4x+5 dx

5. ∫√3x²+5 dx

5. ∫√3x²+5 dx

6. ∫√3-2x-x² dx

6. ∫√3-2x-x² dx

3. ∫√5-2x+x² dx

3. ∫√5-2x+x² dx

4. ∫√x²-36 dx

4. ∫√x²-36 dx

1. ∫ √25-9x² dx

1. ∫ √25-9x² dx

2.c) x= 2y +3 3x-5y =8 | Row equivalent method

2.c) x= 2y +3 3x-5y =8 | Row equivalent method

2. a) 8x- 3y =-31 2x+6y =26 |Row equivalent method

2. a) 8x- 3y =-31 2x+6y =26 |Row equivalent method

2 (b) cothx -1/3 coth^3x (corrected)

2 (b) cothx -1/3 coth^3x (corrected)

4.c) x^6 in the expansion of ( 3x^2 - 1/3x)^9

4.c) x^6 in the expansion of ( 3x^2 - 1/3x)^9

4.b) x^2 in the expansion of ( x^3 +a/x )^10

4.b) x^2 in the expansion of ( x^3 +a/x )^10

1.a) 5x-2y =-2 2x+5y=-24 | Row equivalent method |

1.a) 5x-2y =-2 2x+5y=-24 | Row equivalent method |

4. a) x^5 in the expansion of (x +1/2x)^7

4. a) x^5 in the expansion of (x +1/2x)^7

3. b) (a/b +b/a)^2n+1

3. b) (a/b +b/a)^2n+1

3. a) ( x² + 1/x)⁶

3. a) ( x² + 1/x)⁶

2. b) fourth term of (2x² + 1/x )⁸

2. b) fourth term of (2x² + 1/x )⁸

2. c) fifth term of ( x- 2/x)⁷

2. c) fifth term of ( x- 2/x)⁷

2. (a) seventh term of (2x + y)¹²

2. (a) seventh term of (2x + y)¹²

1. (e) (x² - 1/x )⁵

1. (e) (x² - 1/x )⁵

1. (b) (2x - 3y)⁴

1. (b) (2x - 3y)⁴

1. (d) (x/2+2/y)⁵

1. (d) (x/2+2/y)⁵

1. (c) (2x + y²)⁵

1. (c) (2x + y²)⁵

1. (a) (a + b)⁷

1. (a) (a + b)⁷

2. (a) x-3y-7z=6 2x+3y+z=9 4x+y=7 solve by Cramer's Rule

2. (a) x-3y-7z=6 2x+3y+z=9 4x+y=7 solve by Cramer's Rule

1. (g) 2x/3+y=16 x+y/4=14 | Cramer's rule

1. (g) 2x/3+y=16 x+y/4=14 | Cramer's rule

1. (a) 2x-y=5 x-2y=1 | Cramer's rule

1. (a) 2x-y=5 x-2y=1 | Cramer's rule

(xix) √1+x/1-x dx

(xix) √1+x/1-x dx

(xvii) ∫dx/(4x+3)√x+3

(xvii) ∫dx/(4x+3)√x+3

(xviii) ∫ dx/(2x+1)√4x+3

(xviii) ∫ dx/(2x+1)√4x+3

(xvi) ∫ dx/√(x-α) (x-β)

(xvi) ∫ dx/√(x-α) (x-β)

(xii) ∫ x+2/√x²+x+1 dx

(xii) ∫ x+2/√x²+x+1 dx

(xv) ∫ dx/√8-2x-x²

(xv) ∫ dx/√8-2x-x²

(xiv) ∫ dx/√x²-7x+12

(xiv) ∫ dx/√x²-7x+12

(xiii) ∫ x-2/√2x²-8x+5 dx

(xiii) ∫ x-2/√2x²-8x+5 dx

(xi) ∫ 2x+3/√x²+4x+20 dx

(xi) ∫ 2x+3/√x²+4x+20 dx

(x) ∫ x dx/√x²+4x+5

(x) ∫ x dx/√x²+4x+5

(ix) ∫ xdx/√x⁴+2x²+10

(ix) ∫ xdx/√x⁴+2x²+10

(vii) ∫dx/√2x²+3x+4

(vii) ∫dx/√2x²+3x+4

(viii) ∫x dx/√a4+x4

(viii) ∫x dx/√a4+x4

(iii) ∫dx/√x²+4x-5

(iii) ∫dx/√x²+4x-5

(iv) ∫ dx/√x²+6x+10

(iv) ∫ dx/√x²+6x+10

(v) ∫dx/√2ax+x²

(v) ∫dx/√2ax+x²

(vi) ∫dx/√2ax-x²

(vi) ∫dx/√2ax-x²

(ii) ∫dx/√4x² + 9

(ii) ∫dx/√4x² + 9

2. (i) ∫dx/√x² -16

2. (i) ∫dx/√x² -16

(xviii) ∫6x+2/ 9x²+6x+26 dx

(xviii) ∫6x+2/ 9x²+6x+26 dx

(xvii) ∫(4x+3)/4x² +12x +5 dx

(xvii) ∫(4x+3)/4x² +12x +5 dx

Superhit question- Function #mathshorts #maths #mathproblems #mathslover #entrance

Superhit question- Function #mathshorts #maths #mathproblems #mathslover #entrance

4. In order to find the correlation coefficient between the two variables X and Y from 12 pair of

4. In order to find the correlation coefficient between the two variables X and Y from 12 pair of

3. From the following table calculate Karl Pearson's correlation coefficient between the two

3. From the following table calculate Karl Pearson's correlation coefficient between the two

2.c) Calculate Karl Pearson's correlation coefficient between the sales and expenses in thousand

2.c) Calculate Karl Pearson's correlation coefficient between the sales and expenses in thousand

Logical Reasoning #mathshorts #mathstricks #pscclasses #psctricks #sscexam

Logical Reasoning #mathshorts #mathstricks #pscclasses #psctricks #sscexam

1.xvi) ∫ (2x+2) dx/ 3+2x-x²

1.xvi) ∫ (2x+2) dx/ 3+2x-x²

1.xv) ∫2x+3 /x²+4x+5 dx

1.xv) ∫2x+3 /x²+4x+5 dx

1.xiii) ∫ xdx/ x²+4x-12

1.xiii) ∫ xdx/ x²+4x-12

1.xiv) ∫ xdx/ x²+4x+40

1.xiv) ∫ xdx/ x²+4x+40

2.a) calculate karl Pearson's correlation coefficient between the two variables(in cm)and weight

2.a) calculate karl Pearson's correlation coefficient between the two variables(in cm)and weight

1.g) find the code lesson coefficient between the two variables under the following condition:

1.g) find the code lesson coefficient between the two variables under the following condition:

1.e) find the correlation coefficient between the two variables under the following conditions

1.e) find the correlation coefficient between the two variables under the following conditions

1.f)n=10, x̄ =5, ȳ=3, ΣX²=290, ΣY²=300, ΣXY=115

1.f)n=10, x̄ =5, ȳ=3, ΣX²=290, ΣY²=300, ΣXY=115

1.d)n=15,σx=3.2, σy=3.4, Σ(X-x̄)(Y-ȳ)=122

1.d)n=15,σx=3.2, σy=3.4, Σ(X-x̄)(Y-ȳ)=122

1.c) Σ(X-X)² = 40, Σ(Y-Y)²=63 and Σ(X-x̄)(Y-ȳ)=35

1.c) Σ(X-X)² = 40, Σ(Y-Y)²=63 and Σ(X-x̄)(Y-ȳ)=35

1.b) Cov(X,Y)=-16.5, Var(X) =2.89 and Var(Y)=100

1.b) Cov(X,Y)=-16.5, Var(X) =2.89 and Var(Y)=100

1.a) Cov (X, Y) = covariance of the variables X and Y = 18 Variance X = 16 and the variance Y = 81

1.a) Cov (X, Y) = covariance of the variables X and Y = 18 Variance X = 16 and the variance Y = 81

Financial problem 2 -PSC/NRB/RBB/SSC

Financial problem 2 -PSC/NRB/RBB/SSC

Financial problem1 -PSC/RBB/NRB

Financial problem1 -PSC/RBB/NRB

Correlation Formula

Correlation Formula

Correlation Formula

Correlation Formula

1.xii) ∫ cosx dx/ sin²x +4sinx+5

1.xii) ∫ cosx dx/ sin²x +4sinx+5

1.xi) ∫dx/1+x-x²

1.xi) ∫dx/1+x-x²

Reasoning 2 #mathshorts #mathstricks #mathematics #pscnepal #pscclasses #psctips

Reasoning 2 #mathshorts #mathstricks #mathematics #pscnepal #pscclasses #psctips

Reasoning 1 #mathshorts #mathslover #mathstricks #sscexam #pscnepal

Reasoning 1 #mathshorts #mathslover #mathstricks #sscexam #pscnepal

5.f find the value of k when the line kx-3y+6=0 is perpendicular to line joining (4,3) and (5,-3)

5.f find the value of k when the line kx-3y+6=0 is perpendicular to line joining (4,3) and (5,-3)

5.c find the value of k when the lines √3x+2y=9 and kx+√3y+3=0 are perpendicular to each other

5.c find the value of k when the lines √3x+2y=9 and kx+√3y+3=0 are perpendicular to each other

5.a Find the value of k when the straight lines kx+3y-8=0 and 2y-3x= 11 are parallel.

5.a Find the value of k when the straight lines kx+3y-8=0 and 2y-3x= 11 are parallel.

4.e If the angle between the lines (a²-b²)x=(p+q)y and (p²-q²)x +(a+b)y =0 is 90°, show(a-b)(p-q)=1

4.e If the angle between the lines (a²-b²)x=(p+q)y and (p²-q²)x +(a+b)y =0 is 90°, show(a-b)(p-q)=1

4.c Show that the line 3x-y-2=6 and the line joing (-2,5) and (-3,2) are parallel to each other.

4.c Show that the line 3x-y-2=6 and the line joing (-2,5) and (-3,2) are parallel to each other.

4.b.Prove that the following pair of lines 4x + 3y = 7 and 3x - 4y + 5 = 0 are perpendicular to each

4.b.Prove that the following pair of lines 4x + 3y = 7 and 3x - 4y + 5 = 0 are perpendicular to each

4.a Show that the line 3x + 5 - 4y = 0 and 6x - 8y + 7 = 0 are parallel to each other.

4.a Show that the line 3x + 5 - 4y = 0 and 6x - 8y + 7 = 0 are parallel to each other.

1.x) ∫dx/1+x+x²

1.x) ∫dx/1+x+x²

1.ix) ∫dx/x²+6x+8

1.ix) ∫dx/x²+6x+8

1. viii) ∫dx/5x²-4

1. viii) ∫dx/5x²-4

1.vii) ∫ dx / 4x² -9

1.vii) ∫ dx / 4x² -9

1. vi) ∫ dx / ex+ e-x

1. vi) ∫ dx / ex+ e-x

1. iv) ∫ 2x+3 / 4x²+1 dx

1. iv) ∫ 2x+3 / 4x²+1 dx

1. v) ∫ 6x+1 / x²+9 dx

1. v) ∫ 6x+1 / x²+9 dx

1. iii) ∫ x dx/ x⁴ + 3

1. iii) ∫ x dx/ x⁴ + 3

1.ii) ∫ dx / 4x² +25

1.ii) ∫ dx / 4x² +25

1.i) ∫ dx / x² +49

1.i) ∫ dx / x² +49

5.d) 5+11+19+29+41+......

5.d) 5+11+19+29+41+......

5.c) 2+5+10+17+26+......

5.c) 2+5+10+17+26+......

5. b) 3+7+13+21+31+......

5. b) 3+7+13+21+31+......

circle theorem class 10 #mathshorts #mathslover #mathstricks #maths #mathematics #circle

circle theorem class 10 #mathshorts #mathslover #mathstricks #maths #mathematics #circle

5.a) 2+4+8+14+22+......

5.a) 2+4+8+14+22+......

Circle theorem for class 10 #mathshorts #mathslover #mathstricks #maths #mathematics #circle

Circle theorem for class 10 #mathshorts #mathslover #mathstricks #maths #mathematics #circle

solve the problem 8 #mathshorts #maths #mathslover #mathstricks

solve the problem 8 #mathshorts #maths #mathslover #mathstricks

solve the problem6 #mathshorts #maths #mathslover #mathstricks #sequenceandseries

solve the problem6 #mathshorts #maths #mathslover #mathstricks #sequenceandseries

4.e) 1^2+3^2+5^2

4.e) 1^2+3^2+5^2

solve the problem 5 #mathshorts #maths #mathslover #mathstricks

solve the problem 5 #mathshorts #maths #mathslover #mathstricks

The math solution 4 #mathshorts #maths #mathslover #mathstricks #mathslover

The math solution 4 #mathshorts #maths #mathslover #mathstricks #mathslover

solve the problem 3 #mathshorts #maths #mathslover #mathslover

solve the problem 3 #mathshorts #maths #mathslover #mathslover

4.d) 1.2²+3.4²+5.6²+......

4.d) 1.2²+3.4²+5.6²+......

4.c) 1².2+2².3+3².4......

4.c) 1².2+2².3+3².4......

4.b) 3.1²+4.2²+4.3²......

4.b) 3.1²+4.2²+4.3²......

4.a) 1².1+2².3+3².5 .......

4.a) 1².1+2².3+3².5 .......

Solve the problem 3 #mathshorts #maths #mathslover

Solve the problem 3 #mathshorts #maths #mathslover

solve the problem2 #mathshorts #mathslover #mathstricks #mathematics

solve the problem2 #mathshorts #mathslover #mathstricks #mathematics

solve the problem 1#mathshorts #mathslover #mathstricks #mathematics

solve the problem 1#mathshorts #mathslover #mathstricks #mathematics

(1),(2,3),(4,5,6),(7,8,9,10),... Find the first term of the nth group.

(1),(2,3),(4,5,6),(7,8,9,10),... Find the first term of the nth group.

Find the general term and then the sum of first terms of the series 1.n+2.(n - 1) +3.(n-2)+......

Find the general term and then the sum of first terms of the series 1.n+2.(n - 1) +3.(n-2)+......

2(g) 2+(2+3)+(2+3+4)+.....Find the nth term and the sum of first n terms

2(g) 2+(2+3)+(2+3+4)+.....Find the nth term and the sum of first n terms

2(f) 2+6+12+20+......Find the nth term and the sum of first n terms

2(f) 2+6+12+20+......Find the nth term and the sum of first n terms

2. e) 5.3+ 7.5+ 9.7+.......Find the nth term and the sum of first n terms

2. e) 5.3+ 7.5+ 9.7+.......Find the nth term and the sum of first n terms

2. d) 2.5 + 4.8 +6.11 + .......Find the nth term and the sum of first n terms

2. d) 2.5 + 4.8 +6.11 + .......Find the nth term and the sum of first n terms

2. c) 1.3+ 3.5+ 5.7+ .......Find the nth term and the sum of first n terms

2. c) 1.3+ 3.5+ 5.7+ .......Find the nth term and the sum of first n terms

2. b) 1.3+2.4+3.5+.......Find the nth term and the sum of first n terms

2. b) 1.3+2.4+3.5+.......Find the nth term and the sum of first n terms

2. a) 1.1+2.2 +3.3+4.4+.......Find the nth term and the sum of first n terms

2. a) 1.1+2.2 +3.3+4.4+.......Find the nth term and the sum of first n terms

Given the nth term of the series, find the sum to n terms d) 3^n -4n^3

Given the nth term of the series, find the sum to n terms d) 3^n -4n^3

Given the nth term of the series, find the sum to n terms c) n(n+1) -2

Given the nth term of the series, find the sum to n terms c) n(n+1) -2

Given the nth term of the series, find the sum to n terms b) n^2 - 3n

Given the nth term of the series, find the sum to n terms b) n^2 - 3n

Given the nth term of the series, find the sum to n terms. a) n+n2

Given the nth term of the series, find the sum to n terms. a) n+n2

Algebra problem #mathshorts #mathslover #mathstricks #mathematics

Algebra problem #mathshorts #mathslover #mathstricks #mathematics

Algebra problem #mathshorts #mathslover #mathstricks

Algebra problem #mathshorts #mathslover #mathstricks

sequence and series formula #mathshorts #mathslover #mathstricks

sequence and series formula #mathshorts #mathslover #mathstricks

Law of indices of Algebra #shortsvideo #mathshorts #mathslover

Law of indices of Algebra #shortsvideo #mathshorts #mathslover

2.b) Find the acute angle between the following pair of straight lines x-√3 y = a and √3 x - y=b

2.b) Find the acute angle between the following pair of straight lines x-√3 y = a and √3 x - y=b

Graphs for different functions tricks #mathshorts #mathslover #mathstricks

Graphs for different functions tricks #mathshorts #mathslover #mathstricks

Find the Acute angle between the following of straight lines 2x+4y =4 and x+2y = 30

Find the Acute angle between the following of straight lines 2x+4y =4 and x+2y = 30

Find the area of given triangle #mathshorts #mathslover #mathstricks #circle

Find the area of given triangle #mathshorts #mathslover #mathstricks #circle

Square root problem #mathshorts #mathslover

Square root problem #mathshorts #mathslover

Square root of Complex number #mathshorts

Square root of Complex number #mathshorts

Derivative exercise 12.1 |6(h) (sinhx/a + coshx/a)nx | Neb

Derivative exercise 12.1 |6(h) (sinhx/a + coshx/a)nx | Neb

Derivative exercise 12.1 |6(g) (tanhx)^cosh-1x | Neb

Derivative exercise 12.1 |6(g) (tanhx)^cosh-1x | Neb

Derivative exercise 12.1 |6(f) (cosh-1x)^tanhx | Neb

Derivative exercise 12.1 |6(f) (cosh-1x)^tanhx | Neb

Derivative exercise 12.1 |6(e) (coshx)^sinh-1x | Neb

Derivative exercise 12.1 |6(e) (coshx)^sinh-1x | Neb

Cramer's rule (type2) | class 10 United's Speedy | Optional math

Cramer's rule (type2) | class 10 United's Speedy | Optional math

Cramer's rule (type1) | class 10 United's Speedy | Optional math

Cramer's rule (type1) | class 10 United's Speedy | Optional math

Derivative exercise 12.1 |6(d) (logx)sinhx | Neb

Derivative exercise 12.1 |6(d) (logx)sinhx | Neb

determinant of 2×2 matrix #mathshorts #mathslover

determinant of 2×2 matrix #mathshorts #mathslover

Derivative exercise 12.1 |6(b) (coshx/a)^logx | Neb

Derivative exercise 12.1 |6(b) (coshx/a)^logx | Neb

Derivative exercise 12.1 |6(c) (sinhx)^tanhx | Neb

Derivative exercise 12.1 |6(c) (sinhx)^tanhx | Neb

Derivative exercise 12.1 |6(a) (sinhx/a)^x2| Neb

Derivative exercise 12.1 |6(a) (sinhx/a)^x2| Neb

Multiplication Trick #mathslover #mathshorts

Multiplication Trick #mathslover #mathshorts

prove : 2+2=5 #mathstricks #mathshorts

prove : 2+2=5 #mathstricks #mathshorts

don't be confuse on it never ever...#mathshorts #mathslover #circle

don't be confuse on it never ever...#mathshorts #mathslover #circle

Derivative exercise 12.1 |5(d) x^tanh-1 x/3| Neb

Derivative exercise 12.1 |5(d) x^tanh-1 x/3| Neb

Derivative exercise 12.1 |5(c) x^cosh x2/a| Neb

Derivative exercise 12.1 |5(c) x^cosh x2/a| Neb

Derivative exercise 12.1 |5(b) x^sinh x2/a| Neb

Derivative exercise 12.1 |5(b) x^sinh x2/a| Neb

Derivative exercise 12.1 | 5(a) x^coshx/a | Neb

Derivative exercise 12.1 | 5(a) x^coshx/a | Neb

Derivative exercise 12.1 | 4(e) log( coshx^2)| Neb

Derivative exercise 12.1 | 4(e) log( coshx^2)| Neb

Derivative exercise 12.1 | 4(d) log sinhx/a | Neb

Derivative exercise 12.1 | 4(d) log sinhx/a | Neb

Derivative exercise 12.1 | 4(c) log(tanhx) | Neb

Derivative exercise 12.1 | 4(c) log(tanhx) | Neb

Derivative exercise 12.1 | 4(b) e^tanhx/2| Neb

Derivative exercise 12.1 | 4(b) e^tanhx/2| Neb

Derivative exercise 12.1 | 4(a) e^sinhx | Neb

Derivative exercise 12.1 | 4(a) e^sinhx | Neb

Derivative exercise 12.1 | 3(f) coth( Arc sinx) | Neb

Derivative exercise 12.1 | 3(f) coth( Arc sinx) | Neb

Derivative exercise 12.1 | 3(e) sinh-1(cos2x) | Neb

Derivative exercise 12.1 | 3(e) sinh-1(cos2x) | Neb

Derivative exercise 12.1 | 3(d) 2 tanh-1 (tan½x) | Neb

Derivative exercise 12.1 | 3(d) 2 tanh-1 (tan½x) | Neb

Derivative exercise 12.1 | 3(c) Arc tan sinhx | Neb

Derivative exercise 12.1 | 3(c) Arc tan sinhx | Neb

Derivative exercise 12.1 | 3(b) sech-1x - cosh-1x | Neb

Derivative exercise 12.1 | 3(b) sech-1x - cosh-1x | Neb

Derivative exercise 12.1 | 3(a) sech (tan-1x) | Neb

Derivative exercise 12.1 | 3(a) sech (tan-1x) | Neb

Derivative exercise 12.1 | 2(h) (sinh-1x + cosh-1x )² | Neb

Derivative exercise 12.1 | 2(h) (sinh-1x + cosh-1x )² | Neb

Derivative exercise 12.1 | 2(g) 1/√cothx+tanhx | Neb

Derivative exercise 12.1 | 2(g) 1/√cothx+tanhx | Neb

Derivative exercise 12.1 | 2(f) Sinh 2x/ (x+cosh 2x) | Neb

Derivative exercise 12.1 | 2(f) Sinh 2x/ (x+cosh 2x) | Neb

Derivative exercise 12.1 | 2(d) sinh^1/2x + cosh^-1/2 x | Neb

Derivative exercise 12.1 | 2(d) sinh^1/2x + cosh^-1/2 x | Neb