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A differentiable function satisfies f(x)...

A differentiable function satisfies `f(x) = underset(0) overset(x) int (f(t) cos t - cos(t - x))dt`.
Which of the following hold(s) good?
a. f(x) has a minimem value 1-e
b. f(x) has a maximum value `1-e^(-1)`
c. `f''((pi)/(2))=e`
d.`f'(0)=1`

A

f(x) has a minimem value 1-e

B

f(x) has a maximum value `1-e^(-1)`

C

`f''((pi)/(2))=e`

D

`f'(0)=1`

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