NIMCET 2017 Question Paper with solutions

© examsiri.com

Question : 116 of 120

Marks: +1, -0

If y =

cos^2x^2

, find

{dy}/{dx}

$4x^2sin^2xcos^2x$
- $4x^2sin^2xcos^2x$
$2x^2sin^2xcos^2x$
- $2x^2sin^2xcos^2x$
None of the above

Solution:

Given y =

(cosx^2)^2

Using chain rule,

{dy}/{dx}

=

2(cosx^2)^{2-1}

{dy}/{dx}

(cosx^2)

=

2cosx^2(-sinx^2) d/{dx} (x^2)

= -

2cosx^2sinx^2

× 2x
= - 4x

cosx^2sinx^2

No option match.

© examsiri.com

Go to Question:

Prev Question

Next Question