Verify Rolles theorem for function `f(x)=sinx+cosx` on `[0,\ pi//2]`

Explanation

Condition (1):


Since, `f(x)=\sin x+\cos x `is a trigonometric function and we know every trigonometric function is continuous.


`\Rightarrow f(x)=\sin x+\cos x` is continuous on.


Condition (2):

Неге,` f^{\prime}(x)=\cos x-\sin x `which exist in.

...