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 \(x\):

\(\mathrm{f}(x) = \ln (2x^2 - 5)\)
\(y = \ln \sin 4x\)
\(\mathrm{f}(x) = \ln (6x^3)\)

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

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