Q. If $f (x) = x sin x$ , then $f^{'} (\frac{π}{2})$ is equal to

3103 251 Limits and Derivatives Report Error

A

0

B

1

C

+1

D

$\frac{1}{2}$

Solution:

AS $f^{'} (x) = x cos x + sin x$
So, $f^{'} (\frac{π}{2}) = \frac{π}{2} cos \frac{π}{2} + sin \frac{π}{2} = 1$