1.Determine whether Rolle's Theorem can be applied to the function f(x)=cos?x on the closed interval [-1/2, 1/2) such that f'(c)=0.

a. Rolle's Theorem applies; c=0

b. Rolle's Theorem applies; c=-1/4, 1/4

c. Rolle's Theorem applies; c=0, -1/4, 1/4

d. Rolle's Theorem applies; c=1/4

e. Rolle's Theorem does not apply

2. Find the value of the derivative (if it exists) of the function f(x)=15-|x| at the extremum point (0,15).

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