Here’s the rule for deriving natural logs, which is a specific case of the chain rule:
##d/dx ln( f(x) ) = (f'(x))/f(x)##
So if we let ##f(x)## from the example above be ##5x##, you get this:
##d/dx ln( 5x ) = (5)/(5x)##
Which simplifies to ##1/x##.
Previous answers to this question
This is a preview of an assignment submitted on our website by a student. If you need help with this question or any assignment help, click on the order button below and get started. We guarantee authentic, quality, 100% plagiarism free work or your money back.
Get The Answer