a Find the derivative (x) of the given function y (x) b Graph y (x) and y (x) side by side using separate sets of coordinate axes, and answer the following questions c For what values of x, if any, is positive Zero Negative d Over what intervals of x values, if any, does the function y (x) increase as x increases Decrease as x increases How is this related to what you found in part (c) y x 2

Question: a. Find the derivative (x) of the given function y = (x). b. Graph y = (x) and y = (x) side by side using

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

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