What is the derivative of tan2x?
Find the derivative of tan2x.
Let, y=tan2x
Differentiate w.r.t x, using chain rule.
dydx=ddxtan2x=2tanx×ddxtanx∵ddxxn=nxn-1=2tanx×sec2x∵ddxtanx=sec2x=2tanxsec2x
Therefore, the derivative of tan2x is 2tanxsec2x.
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