Logarithmic differentiation

In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, ( ln ⁡ f ) ′ = f ′ f ⟹ f ′ = f ⋅ ( ln ⁡ f ) ′ . {\displaystyle (\ln f)'={\frac {f'}{f}}\quad \implies \quad f'=f\cdot (\ln f)'.} The technique is often performed in cases where it is easier to differentiate the logarithm of a function rather than the function itself.

Source: Wikipedia — Logarithmic differentiation (CC BY-SA 4.0)

Logarithmic differentiation

In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, ( ln ⁡ f ) ′ = f ′ f ⟹ f ′ = f ⋅ ( ln ⁡ f ) ′ . {\displaystyle (\ln f)'={\frac {f'}{f}}\quad \implies \quad f'=f\cdot (\ln f)'.} The technique is often performed in cases where it is easier to differentiate the logarithm of a function rather than the function itself.

This neuron ends here.

Source: Wikipedia "Logarithmic differentiation" · CC BY-SA 4.0

Share this article: X · Bluesky
Privacy Policy