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Logarithmic Differentiation


Definition

The logarithmic derivative of a function ff is defined by the formula f′f\frac{f'}{f}.

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Problems Solved

Find the integral ∫log⁡(x2+2)dx\int\log\left(x^2+2\right)dx
Find the integral ∫log⁡(x)−1dx\int\log\left(x\right)^{-1}dx
Find the integral ∫log (1+x2)dx\int log\:\left(1+x^2\right)dx
Find the integral ∫log⁡(x2+3)dx\int\log\left(x^2+3\right)dx
Find the integral ∫log⁡(3x2+4)dx\int\log\left(3x^2+4\right)dx
Find the integral ∫log⁡e(z2+1)dz\int\log_e\left(z^2+1\right)dz

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Related Topics

Implicit Differentiation
Higher-order derivatives
Inverse trigonometric functions differentiation

Popular problems

∫log⁡(x2+2)dx\int\log\left(x^2+2\right)dx
∫log⁡(x)−1dx\int\log\left(x\right)^{-1}dx
∫log (1+x2)dx\int log\:\left(1+x^2\right)dx
∫log⁡(x2+3)dx\int\log\left(x^2+3\right)dx
∫log⁡(3x2+4)dx\int\log\left(3x^2+4\right)dx
∫log⁡e(z2+1)dz\int\log_e\left(z^2+1\right)dz