Find the derivative of f(x)=x^2log(2x)

Use the product rule (f'(x)=u'v+uv')

Let u=x2    =>    u'=2x

Let v=log(2x)  =>   v'=2/(2x)  =>    v'=1/x

Therefore f'(x)=2xlog(2x)+x2/x

f'(x)=2xlog(2x)+x

DB
Answered by Daniel B. Maths tutor

8819 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the moment about the pivot C


The circle C has centre (3, 1) and passes through the point P(8, 3). (a) Find an equation for C. (b) Find an equation for the tangent to C at P, giving your answer in the form ax + by + c = 0 , where a, b and c are integers.


What are the solutions of (x^3)+6 = 2(x^2)+5x given x = 3 is a solution?


x^3 + 3x^2 + 2x + 12


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