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Question

What is the derivative of tan2x?


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Solution

We know that the derivative of tanx is,

ddxtanx=sec2x

Chain rule: ddxfgx=f'gx·g'x

Differentiate tan2x with respect to x, using the chain rule we get

ddxtan2x=sec22xddx2x

ddxtan2x=sec22x·2

ddxtan2x=2sec22x

Hence, the derivative of tan2x is 2sec22x .


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