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

2956 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrating (e^x)sin(x)


use the substitution u=2+ln(x) to show that int(e,1(ln(x)/x(2+ln(x)^2))dx)=p+ln(q) , where p and q are rational numbers.


What is the moment about the pivot C


How do you differentiate parametric equations?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences