Differentiate x^2 ln(3x) with respect to x

This question requires the use of differentiation by product rule. First differentiate the first term, whilst keeping the second term the same, i.e. we get 2xln(3x). Secondly we keep the first term the same, and differentiate the second term, meaning it becomes x2(1/x), and thus our overall answer would be adding both of the things we got up (as that's the product rule). Thus the answer would be 2xln(3x) + x.

RF
Answered by Ricky F. Maths tutor

14121 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate the function xsin(4x^2) with respect to x, using the integration by substitution method.


A curve C has equation y = x^2 − 2x − 24sqrt x, x > 0. Prove that it has a stationary point at x=4.


How do you do integration by parts?


Why, how and when do we use partial fractions and polynomial long division?


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