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Question

What is the derivative of tan2x?


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Solution

Find the derivative of tan2x.

Let, y=tan2x

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

dydx=ddxtan2x=2tanx×ddxtanxddxxn=nxn-1=2tanx×sec2xddxtanx=sec2x=2tanxsec2x

Therefore, the derivative of tan2x is 2tanxsec2x.


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