Reference no: EM132823632

Assignment

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Question 1: Find f'(x) for the following function.

f(x) = (4x⁵ - 13)⁶

f'(x) =

Question 2: Find the derivative of the function. F(x) = (x⁴ + 7x² - 7)⁶

F'(x) =

Question 3: Find the derivative of the function.

y= √(4x + 10x¹⁰)

y' =

Question 4: Find the derivative of the function.

f(x) = ⁴√(8 + x¹²)

f'(x) =

Question 5: Differentiate the function.

f(x) = ⁵√In(x)

f'(x) =

Question 6: Find the derivative of the function.

g(t) = 1/(t⁴ + 4)²

g'(t) =

Question 7: Find the derivative of the function.

G(y) = (y - 1)⁶/(y² + 2y)⁹

G'(y) =

Question 8: Find the derivative of the function.

y = ((x³ + 6)/(x³ - 6))³

y' =

Question 9:

Find the derivative of the function. g(x) = (4 + 5x)⁵(4 - x⁴)

g'(x) =

Question 10:
Find the derivative of the function.

g(x) = e^x/(x³ + 7)⁴

g'(x) =

Question 11:

Find the following derivative.

d/dx ((10 - x³)⁴/x³) =

Question 12: Determine the equation of the line tangent to the following function at x = 3.

f(x) = (x - 2)(5 - x)⁴

y =

Attachment:- Derivative hw.rar