Hey,(adsbygoogle = window.adsbygoogle || []).push({});

In my class we just learned about logarithmic differentiation. I can see this being useful when taking the derivative of a complex function since it could be messy. But, I tried it on simpler equations as well. Everything I tried it on it seemed to work. Are there ever instances that it does not work?

To make sure we are using the same definition of logarithmic differentiation, I simply mean taking the log of both sides of an equation before taking its derivative. So where:

y = x^{2}

ln y = ln (x^{2})

1 / y * y' = 1 / x^{2}* 2x

y' = 2y / x

y' = 2x

Certainly just taking the derivative of this is easier, but it's just an example.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Instances where Logarithmic Differentiation doesn't work?

**Physics Forums | Science Articles, Homework Help, Discussion**