Verify Rolles theorem for function `f(x)=e^(1-x^2)` on `[-1,\ 1]`

Explanation

According to Rolle's theorem,


(i) `f(x)` is continuous on `[a, b]`


(ii) `f(x)` is differentiable on `(a, b)`


(iii) `f(a)=f(b)`



There exist `c in (a,b)` such that `f'(c)=0`


`f(x)=e^(1-x^2)`


`f'(x)=-e^(1-x^2)*2x`



`f(x)` is exponential function, So it is continuous and differentiable.


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