Question

Differentiate w.r.t. x, d/dx sin(x²)

Answer 1

Answer:

dydx=2xcos(x2)

Explanation:

y=sin(x2)

Applying the chain rule:

dydx=cos(x2)⋅ddx(x2)

=cos(x2)⋅2x [Power rule]

=2xcos(x2)

Answer 2

Hey there !

Thanks for the question !

Solution:

=> d ( Sin x² ) / dx

Applying Chain Rule, we get,

=> d ( Sin x² ) / dx × d ( x² ) / dx

=> ( Cos 2x ) × ( x² )

=> 2x Cos ( x² )

This is the derivative.

Hope my answer helped !