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A function f is defined by f(x)=x^(x) si...

A function f is defined by `f(x)=x^(x) sin x` in `[0,pi]`. Which of the following is not correct?

A

f is continuous in `[0,pi]`

B

f is differentiable in `[0,pi]`

C

`f(0)=f(pi)`

D

Rolle's theorem is not true in `[0,pi]`

Text Solution

Verified by Experts

The correct Answer is:
D
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