Question

find derivatives of cos²x​

Answer 1

Answer:

Let, y=cos2x .

Then, y can be written as y=(cosx)2 .

Now dydx=d(cosx)2dx

=>dydx=d(cosx)2d(cosx)∙d(cosx)dx [By chain rule]

=>dydx=2(cosx)1∙(−sinx)

=>dydx=−2(sinx)(cosx)=−sin2x

Therefore the differentiation of cos2x is −sin2x

Step-by-step explanation:

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