Find the derivative of each of the following w.r.t $x$: \(y = \ln \left( \cos^2 x \sqrt{\sin x} \r

Question

Find the derivative of each of the following w.r.t $x$: $y = \ln \left( \cos^2 x \sqrt{\sin x} \right)$ $y = \ln \left( \cos^2 3x \tan^3 3x \right)$ $y = \ln \sqrt{\frac{\cos 2x}{\tan^2 2x}}$

Accepted Answer

(a) $-2\tan x+\dfrac12\cot x$ (b) $9\cot3x+3\tan3x$ (c) $-3\tan2x-2\cot2x$

Techniques of Differentiation - Derivatives of Natural Logarithmic Functions

Techniques of Differentiation - Derivatives of Natural Logarithmic Functions

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