Logarithmic Differentiation: Two Wrongs Make a Right

by Noah Samuel Brannen (Sonoma State University) and Ben Ford (Sonoma State University)

This article originally appeared in:
College Mathematics Journal
November, 2004

Subject classification(s): Differentiation | Single Variable Calculus | Calculus
Applicable Course(s): 3.1 Mainstream Calculus I

Differentiate $f(x)^{g(x)}$ first as if $g$ was a constant, then as if $f$ was a constant. Presto!

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Capsule Course Topic(s):
One-Variable Calculus | Differentiation: Calculation Rules