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If f(x)=sin xl e^(x) in [0,pi] then f(x)...

If `f(x)=sin xl e^(x)` in `[0,pi]` then `f(x)`

A

satisfies Rolle's Theorem and c `=(pi)/(4)` , so that `f'((pi)/(4))=4`

B

does not satisfy Rolle's Theorem but `f'((pi)/(4)) gt 0`

C

Satisfies Rolle's Theorem and `f'((pi)/(4))=0`

D

satisfies Lagrange's Mean Value Theorem but `f'((pi)/(4)) ne0`

Text Solution

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The correct Answer is:
C
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