I can differentiate exponentials (e^x), but how can I differentiate ln(x)?

[Differentiate y = ln(x)] This is an example of many situations in maths where you need to solve something that is similar to what you can solve, but not in its current form. A good idea, then, is to see what you can do to get into a form where you can use what you already know. Consider: y = ln(x) e^y = x This is something that you can differentiate: dx/dy = e^y Then, get this back into the form that you want: dx/dy = x dy/dx = 1/x

AL
Answered by Adam L. Maths tutor

3076 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given an integral of a function parametrized with respect to an integer index n, prove a given recursive identity and use this to evaluate the integral for a specific value of n.


Solve the differential equation: dy/dx = 6x^2 + 4x + 9


A uniform ladder is leaning against a smooth wall on a rough ground. The ladder has a mass of 10 kilograms and is 4 metres long. If the ladder is in equilibrium, state an equation for the coefficient of friction of the ground


find the integral of y=x^2 +sin^2(x) with respect to x between the limits 0 and pi


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences