Question

# Differentiate the following functions with respect to x 2√cot(x2)

Solution

## Let y = 2√cot(x2) Differentiate both sides w.r.t. X, dydx=ddx2(cont x2)1/2=2.12{cot(x2)}12−1ddxcot (x2)     [Using chain rule ddxf(g(x))=f′(x)ddxg(x)] = 1√cot(x2)[−cosec2x2]ddx(x2) = −cosec2(x2)2x√cot(x2)=−2x cosec2(x2)√cot(x2) Mathematics

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