Verify Rolles theorem for function `f(x)=e^xsinx` on `[0,\ pi]`

Explanation

`{f}({x})={e}^{-{x}} \sin {x} \quad, {x} \in(0, \pi)`


For Rolle's Theorem,` f(0)=f(\pi) \ f(x) `must be continuous \ differentiable over [0, \pi]



Let us check if` {f}(0)={f}(\pi)`


`\Rightarrow {f}(0)={e}^{-0} \sin (0)=0`
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