C3 differentiation question

differentiate

ln\frac{2x+1}{3x-1}

I'm just not sure due to the fraction I've done all the other questions.

Original post by Emissionspectra

differentiate

ln\frac{2x+1}{3x-1}

I'm just not sure due to the fraction I've done all the other questions.

Hint:

\ln \frac{a}{b} = \ln a - \ln b

. Need more depth just shout :wink2:

The differential of ln(f(x)) is always f'(x)/f(x)
Use the quotient rule to work out f'(x)

EDIT: The way above me is easier

Original post by Emissionspectra

differentiate

ln\frac{2x+1}{3x-1}

I'm just not sure due to the fraction I've done all the other questions.

There's a couple of ways that you can do this, but I think the easiest way is if you use a log law to rewrite

ln\frac{2x+1}{3x-1}

before you differentiate. Can you see which rule is applicable in this case, and why it will make differentiating the expression easier?

Aha. Cheeky logs :P

Bmat: when it is, what it costs and how to prepare

Edexcel A-Level Economics Paper 1 - Unofficial Mark Scheme - 18 May 2023

What is an LLM and how could it benefit your career?

Powerful questions business students forget to ask their career advisers