Question

Differentiate the following w.r.t. x :

Answer 1

The function that is to be differentiated is,

e sin −1 x

Differentiate the function.

d( e sin −1 x )= e sin −1 x d( sin −1 x ) d( e sin −1 x )= e sin −1 x × 1 1− x 2 dx d dx ( e sin −1 x )= e sin −1 x 1− x 2

Thus, the derivative of e sin −1 x is d dx ( e sin −1 x )= e sin −1 x 1− x 2 .