Mathematics · essential

Derivative of logarithm of a function for JEE

Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions

Formula

\[\frac{d}{dx}\ln|u|=\frac{u'}{u}\]

Variables: \(u=u(x)\).

Conditions: \(u\neq 0\).

Logarithmic differentiation, derivatives of products/quotients/powers.

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