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Question

Differentiate extanxcotxxn w.r.t x.

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Solution

y=extanxcotxxx
dydx=(cotxxn)ddx(extanx)(extanx)ddx(cotxxn)(cotxxx)2
=(cotxxx)(exsec2x)(extanx)(csc2xnxn1)(cotxxx)2
=excotxxnexcotxsec2x+xnsec2x+excsc2x+nexxn1tanxcsc2xnxn1tanx(cotxxx)2













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