Derivative of f x -cos x 2 isA- -2 x sinx2B- x2 sinx2C- 2 x sinx2D- -x2 sinx2

The correct option is A (2x)sin(x^2)Given, nbsp;f(x)=cos(x^2) So, the derivative of the function is df(x)dx=dcos(x^2)dx Using chain rule we have dcos(x^2)d( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Chain Rule of Differentiation

Derivative of...

Question

Derivative of $f (x) = cos (x^{2})$ is

- (2 x) sin (x^{2})

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(2 x) sin (x^{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- (x^{2}) sin (x^{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x^{2}) sin (x^{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $- (2 x) sin (x^{2})$
Given, $f (x) = cos (x^{2})$
So, the derivative of the function is
$\frac{d f (x)}{d x} = \frac{d cos (x^{2})}{d x}$
Using chain rule we have
$\frac{d cos (x^{2})}{d (x^{2})} \times \frac{d (x^{2})}{d x}$
$\Rightarrow - (2 x) sin (x^{2})$

Suggest Corrections

Derivative of f(x)=cos(x2) is

The correct option is A −(2x)sin(x2)Given, f(x)=cos(x2) So, the derivative of the function is df(x)dx=dcos(x2)dx Using chain rule we have dcos(x2)d(x2)×d(x2)dx ⇒ −(2x)sin(x2)

Derivative of $f (x) = cos (x^{2})$ is

The correct option is A $- (2 x) sin (x^{2})$
Given, $f (x) = cos (x^{2})$
So, the derivative of the function is
$\frac{d f (x)}{d x} = \frac{d cos (x^{2})}{d x}$
Using chain rule we have
$\frac{d cos (x^{2})}{d (x^{2})} \times \frac{d (x^{2})}{d x}$
$\Rightarrow - (2 x) sin (x^{2})$