Question

Find the derivative of y = cos (x^2) with respect to x.
A. -2x sin (x^2)
B. - sin (2x)
C. - sin (2x) cks (x2)
D. -2x sin (x^2) cos (x^2)

Answer 1

Choice-A is the correct expression.

Answer 2

$\bf y=cos(x^2)\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{-sin(x^2)\cdot 2x}\implies \cfrac{dy}{dx}=-2xsin(x^2)$