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)

asked Mar 12, 2019 5.0k views

3 votes

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)

by Iesou

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0 votes

Choice-A is the correct expression.

Davidriod answered Mar 13, 2019

7.1k points

3 votes

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

Maanijou answered Mar 17, 2019

6.6k points

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