What is the derivative of tan(2x)?
Find the derivative of tan(2x).
Let, y=tan2x
Differentiate both sides w.r.t x using chain rule.
dydx=ddxtan2x=sec22x×ddx2x∵ddxtan2x=sec22x=sec22x×2=2sec22x
Therefore, the derivative of tan(2x) is 2sec22x.
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