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

12799 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has the equation 2x^2 + xy - y^2 +18 = 0. (1) Find the coordinates of the points where the tangent to the curve is parallel to the x-axis.


Find D when 8x^3-12x^2-2x+D is divided by 2x+1 when the remainder is -2


How do you find the first order derivative of sin(x) and cos(x) functions?


Differentiate 2cos(x)sin(x) with respect to 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:

© 2025 by IXL Learning