Techniques of Differentiation - Derivatives of Natural Logarithmic Functions

Techniques of Differentiation - Derivatives of Natural Logarithmic Functions

Find the derivative of each of the following w.r.t \(x\):

\(y = \ln (4x^2 - 3)\)
\(y = \ln \cos 3x\)
\(\mathrm{f}(x) = \ln (4x^5)\)

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Answer:(a) \(\frac{8x}{4x^2-3}\) (b) \(-3\tan 3x\) (c) \(\frac{5}{x}\)

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