Differentiate y=ln(2x^2) with respect to x

Making a substitution for u = 2x^2 Now y = ln(u) dy/dx = du/dx * dy/du du/dx = 4x dy/du = 1/u dy/dx = 4x/u Then substitute 2x^2 back in as u The final answer is 4x/(2x^2) Which can be simplified by dividing through by 2 and x to get 2/x

CG
Answered by Catherine G. Maths tutor

5221 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

2+2 is 4, minus 1, that's what?


Prove the change of base formula for logarithms. That is, prove that log_a (x) = log_b (x) / log_b (a).


Evaluate f'(1) for the function f(x) = (x^2 + 2)^5


What is the derivative of ln(x)?


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