Differentiation - Differentiation of Trigonometric, Logarithmic and Exponential Functions - General

Differentiation - Differentiation of Trigonometric, Logarithmic and Exponential Functions - General

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

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

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

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