Differentiate 7(3x^2+7)^(1/3)

Begin by differentiating the terms in the brackets, which gives just 6x. Bring 6x forward, out of the brackets, together with the index on the brackets - 1/3. This gives 42x/3 or 14x in front of the brackets. Decrease the index by 1 and leave the contents of the brackets as they are to get 14x(3x^2+7)^(-2/3).

TM
Answered by Tomas M. Maths tutor

3857 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate y=ln(x)+5x^2, and give the equation of the tangent at the point x=1


How to integrate e^(5x) between the limits 0 and 1.


Differentiate tan^2(x) with respect to x


Solve x^2=4(x-3)^2


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