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How do I find the derivative of #ln(5x)#?

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1 Answer

Jan 1, 2016

You'll need the chain rule, which states that, when we cannot directly derivate the function, #(dy)/(dx)=(dy)/(du)(du)/(dx)#

Explanation:

Renaming #u=5x#, we can derivate #f(x)=ln(u)#, appyling the aforementioned rule.

#(dy)/(dx)=1/u*5#

#(dy)/(dx)=5/u=5/(5x)=1/x#

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