Verify Rolles theorem for function `f(x)=e^xcosx` on `[-pi//2,\ pi//2]`

Explanation

Let us find the values of the function at an extreme


`\Rightarrow {f}(-\frac{\pi}{2})={e}^{-\frac{\pi}{2}} \cos (-\frac{\pi}{2})`



`\Rightarrow {f}(-\frac{\pi}{2})={e}^{-\frac{\pi}{2}} \times 0 `


`\Rightarrow {f}(-\frac{\pi}{2})=0 `
...