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

Options

A. f is continuous in `[0, pi]`
B. f is defferebtiable in `(0,pi)`
C. `f(0)=f(pi)`
D. Rolle's theorme is not applicable to f x on `[0,pi]`

Answer

D

Explanation

Clearly, f(x) is continuous on `[ pi,pi]` and differentiable on `(0,pi)` such that `f(0)=f(pi)=0`
So, Rolle's theorem is applicable to f(x) on `[0,pi]`.
Hence, option d is not correct