Question

find dy/dx if y =(x²+cos)²​

Answer 1

Answer:

hope it will help you

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Answer 2

Step-by-step explanation:

Given:

$y = {( {x}^{2} + cosx) }^{2}$

To find:dy/dx

Solution:

Apply power rule

$\frac{dy}{dx} = 2( {x}^{2} + cosx). \frac{d( {x}^{2} + cos \: x) }{dx}$

Do the differentiation function

$\frac{dy}{dx} = 2( {x}^{2} + cosx). \bigg( \frac{d( {x}^{2})}{dx} + \frac{ d( cos \: x) }{dx} \bigg) \\ \\ \\ \\ \frac{dy}{dx} = 2( {x}^{2} + cosx).(2x - sin \: x)$

Hope it helps you.