Given that f(x) = x^2 (3x - 1)^(1/2) find f'(x)

This is an example of a question using the product rulelet u = x2 and v = (3x - 1)1/2then u' = 2x and v' = 3 X 1/2 (3x - 1)-1/2 using the product rule we get f'(x) = x2 X 3/2 (3x - 1)-1/2 + (3x - 1)1/2 X 2xwhich is simplified to = x(15x - 4) / [2(3x - 1)1/2]

Answered by Maths tutor

3403 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Prove that (1-cos2x)/sin(2x) = tan(x) where x ≠ nπ/2


Differentiate with respect to X: x^2 + 2y^2+ 2xy = 2


Why does the chain rule work?


How do i use the chain rule twice when differentiating?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences