What Is Logarithmic Differentiation?


Quick Answer

Logarithmic differentiation refers to the process in calculus of finding the derivative of a function by using the properties of the natural logarithmic function. The natural logarithmic function is notated by "ln."

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What Is Logarithmic Differentiation?
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Full Answer

The general rule for logarithmic differentiation is that the derivative of the function ln(f) is equal to the derivative of f over f. Using mathematical notation, this rule reads as [ln(f)]' = f'/f, where the apostrophe indicates a derivative. For example, the derivative of the equation y = x^x can be solved by applying the natural log to both sides of the equation as ln(y) = xln(x), for a final solution of (x^x)(1 + ln(x)).

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