Find dy/dx when y=(3x-1)^10

We have to use the chain rule in this instance to find the differentiated value y=(3x-1)^10 suppose y=u^10 thus, dy/du = 10u^9 secondly: u=3x-1 du/dx=3 the chain rule suggests that dy/dx = du/dx *dy/du so that du cancels out Therefore, dy/dx = 10(3x-1)^9 * (3)Simplified, dy/dx = 30(3x-1)^9

NK
Answered by Nimita K. Maths tutor

4262 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The equation (t – 1)x^2 + 4x + (t – 5) = 0, where t is a constant has no real roots. Show that t satisfies t2–6t+1>0


A trolley of negilible mass on horizontal tracks is at rest. A person of mass 50kg is standing on the trolley with a bag of mass 10kg. The person throws the bag off the trolley horizontally with a velocity of 3m/s. Calculate the velocity of the man.


Differentiate 2x/cos(x)


differentiate the function (x^2 +5/x + 3) 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:

© 2026 by IXL Learning