a. Find the derivative (x) of the given function y = (x). b. Graph y = (x)

a. Find the derivative ƒ′(x) of the given function y = ƒ(x).

b. Graph y = ƒ(x) and y = ƒ′(x) side by side using separate sets of coordinate axes, and answer the following questions.

c. For what values of x, if any, is ƒ′ positive? Zero? Negative?

d. Over what intervals of x-values, if any, does the function y = ƒ(x) increase as x increases? Decrease as x increases? How is this related to what you found in part (c)?

y = -x²