In this post, we establish and use the formulas \frac{d}{dx}ln(x)=\frac{1}{x} and \frac{d}{dx} ln(f(x)) = \frac{f'(x)}{f(x)} , as a part of the QCE Maths Methods course under the topic Further Differentiation and Applications 2 and sub-part Calculus of Logarithmic Functions.
How to derive ln(x)
Part 1: Differentiation of ln(x)