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A differentiable function satisfies f(...

A differentiable function satisfies
`f(x)=int_(0)^(x){f(t)cost-cos(t-x)}dt.` Which is of the following hold 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`

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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
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