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Question

Find dydx
y=cos1(1+x2)

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Solution


Letx=cosθorθ=cos1xtheny=cos1((1+cosθ2))=cos1⎜ ⎜ ⎜ (1+(2cos2(θ2)1)2)⎟ ⎟ ⎟=cos1(cos(θ2))=(θ2)=(12)cos1x(dydx)=(12)×(11x2)=(121x2)


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