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

5973 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the indefinite integral ∫(x^2)*(e^x) dx (Edexcel C4 June 2013 Question 1)


Sketch the graph y=-x^3, using this sketch y=-x^(1/3)


Solve int(ln(x)dx)


Find all solutions of the equation in the interval [0, 2π]. 5 cos^3 x = 5 cos x


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning