Values for f(x) are given in the following table. (a) Use three-point endpoint formula to find f'(0) with h = 0.1. (b) Use three-point midpoint formula to find f'(0) with h = 0.1. (c) Use second-derivative midpoint formula with h = 0.1 to find f"(0).

Q: Find the derivative of the following equation. f (x) = 8x + 3 Using that derivative, what is the…

A: take derivative use the chain rule  here we have

Q: Find the derivative of the function. y'(x) =

A:

Q: Find the second derivative f"(x) for f(x) = e5-3, Hints: First find the derivative of given function…

A: Given: f(x)=e5x2-3 To determine: Second derivative of the given function.

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the higher-order derivative. f"(x) = 12x³ - 38x² f(x) = 72 X

A:

Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: Use the equation given below to find f '' (Pi/3).   f(x) = sec(x)

A:

Q: Find the indicated derivative for the function. -2 h''(x) for h(x) = 7x2 - 6x-8 h''(x) =

A:

Q: Complete the following. f(x) = 3x² - 7x + 25-24 at x = 4 (a) Find the derivative of the function and…

A: