Logarithmic differentiation (Take ln of both sides: ln y = g(x)·ln f(x), then differentiate)

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Take ln of both sides: ln y = g(x)·ln f(x), then differentiate implicitly to get (1/y)(dy/dx)

What each symbol means

SymbolWhat it stands for
f(x)Base function (must be positive)
g(x)Exponent function

When to use this

f(x) > 0 in the domain. Used when both base and exponent depend on x.