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Question

Differentiate the following with respect to x:
cos12x1x2,12<x<1

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Solution

y=cos12x1x2[x=sinθ]=cos12sinθ1sin1θ=cos12sinθ.cosθ=cos1sin2θ=cos1cos(π22θ)=π22θ=π22sin1xdydx=021x2=21x2

Hence, this is the answer.

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