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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.

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# Instances where Logarithmic Differentiation doesn't work?

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