D Homework 1. Find the derivative of = 2. Differentiate y = [tan 3. Integrate 4. Evaluate 5. Use Logarithmic differentiation to find the derivative of y = 6. Use Logarithmic differentiation to find...

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D
Homework
1. Find the derivative of =

2. Differentiate y = [tan
3. Integrate

4. Evaluate

5. Use Logarithmic differentiation to find the derivative of y =

6. Use Logarithmic differentiation to find the derivative of y = xⁿ

7. Write as a single logarithm

8. Integrate

9. Integrate

10. Integrate

11. Integrate

12. Integrate

13. Integrate

14. Integrate

15. Find the derivative of y =

16. Find the derivative of y =

17. Find

18. Compute the derivative of cos^-1(3)
19. Find the derivative of f(x) = sinh²(3x)
20. Integrate

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D Homework 1. Find the derivative of f(x) = log2+sin2x 2. Differentiate y = ln[tan(e5x)] 3. Integrate 2x(x+1)2dx 4. Evaluate 0p41+tan2x dx 5. Use Logarithmic differentiation to find the derivative of y = xx 6. Use Logarithmic differentiation to find the derivative of y = xn 7. Write as a single logarithm 32lnx2+1-ln(x+1)-ln(x-1) 8. Integrate 2sinxcosxdx 9. Integrate dxxlogx 10. Integrate (x-1x)2dx 11. Integrate (xp-px)dx 12. Integrate (x6-1x2-1)dx 13. Integrate sin2xcosx dx 14. Integrate ex-e-xex+e-xdx 15. Find the derivative of y = ln1+ex1-ex 16. Find the derivative of y = xx-1 17. Find xx4+9 dx 18. Compute the derivative of cos-1(3x2) 19. Find the derivative of f(x) = sinh2(3x) 20. Integrate cosh2x dx

D Homework 1. Find the derivative of = 2. Differentiate y = [tan 3. Integrate 4. Evaluate 5. Use Logarithmic differentiation to find the derivative of y = 6. Use Logarithmic differentiation to find the derivative of y = xn 7. Write as a single logarithm 8. Integrate 9. Integrate 10. Integrate 11. Integrate 12. Integrate 13. Integrate 14. Integrate 15. Find the derivative of y = 16. Find the derivative of y = 17. Find 18. Compute the derivative of cos-1(3) 19. Find the derivative of f(x) = sinh2(3x) 20. Integrate

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Answered Same DayDec 23, 2021

Answer To: D Homework 1. Find the derivative of = 2. Differentiate y = [tan 3. Integrate 4. Evaluate 5. Use...

Robert answered on Dec 23 2021

128 Votes

D
Homework
1. Find the derivative of =
Ans:
f(x) = log√(2+sin2x) = ln√(2+sin2x) /ln 10
f’(x) = [1/√(2+sin2x)][1/2√(2+sin2x)][2sin x cos x]/ln 10 = sin 2x/(2+sin2x)ln 10
2. Differentiate y = [tan
Ans:
f’(x) = [1/tan(e5x)][sec2(e5x)][5e5x] = 5e5x /sin(e5x) cos (e5x) = 5e5x/sin(2e5x)
3. Integrate
Ans:
Let x+1 = t
· dx = dt
I = ∫2(t – 1)/t2dt = 2∫(1/t – 1/t2)dt = 2(ln t + 1/t) + c = 2[ln(x+1) + 1/(x+1)] + c
4. Evaluate
√(1 + tan2x) = √sec2x = sec x
0∫π/4 sec x = ln |sec x + tan x|0π/4 = ln (√2 + 1)
5. Use Logarithmic differentiation to find the derivative of y =
ln y = √x ln x
=> dy/y = [√x/x + (ln x)/2√x]dx
=> dy/dx = y[ln x +2]/2√x
=> dy/dx = x√x[ln x...

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D Homework 1. Find the derivative of = 2. Differentiate y = [tan 3. Integrate 4. Evaluate 5. Use Logarithmic differentiation to find the derivative of y = 6. Use Logarithmic differentiation to find...

Answer To: D Homework 1. Find the derivative of = 2. Differentiate y = [tan 3. Integrate 4. Evaluate 5. Use...

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