Category:Derivative of Function to Power of Function

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This category contains pages concerning Derivative of Function to Power of Function:


Let $\map u x, \map v x$ be real functions which are differentiable on $\R$.


Then:

$\map {\dfrac \d {\d x} } {u^v} = v u^{v - 1} \map {\dfrac \d {\d x} } u + u^v \paren {\ln u} \map {\dfrac \d {\d x} } v$

Pages in category "Derivative of Function to Power of Function"

The following 2 pages are in this category, out of 2 total.