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Question

If y=tanx+cotxtanxcotx

Find dydx

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Solution

y=tanx+cotxtanxcotx=sinxcosx+cosxsinxsinxcosxcosxsinx=sin2x+cos2xsinxcosxsin2xcos2xsinxcosx=1cos2x=sec2x

dydx=sec2xtan2x.2=2sec2xtan2x


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