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Question

What is the derivative of sin 2x?


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Solution

Find derivative of sin 2x

Let y=sin 2x

Differentiate it w.r.t x using chain rule.

dydx=ddxsin 2x =cos 2x ddx 2x chain rule:ddxfgx=f'gxddxgx =cos 2x×2 =2cos 2x

Hence, the derivative of sin 2x is 2cos 2x.


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