Derivative of Function to Power of Function/Also presented as

Derivative of Function to Power of Function: Also presented as

Derivative of Function to Power of Function can also be seen presented in the form:

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

Sources

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $3$: Elementary Analytic Methods: $3.3$ Rules for Differentiation and Integration: Derivatives: $3.3.6$