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If the function f(x)= e^x(sinx-cosx), x ...

If the function `f(x)= e^x(sinx-cosx), x` `in` `[(pi)/4, (5pi)/4] `satisfies all the conditions of the Rolle's theorem, then the value of c is...... A) 0 B) `pi` C) `pi/2` D) `pi/4`

A

`pi//3`

B

`pi//2`

C

`3pi//4`

D

`pi`

Text Solution

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The correct Answer is:
D
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