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

4040 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Use the quotient rule to differentiate: ln(3x)/(e^4x) with respect to x.


Find the stationary point of the curve y=3x^2-2x+2 and state the nature of this stationary point.


Given that y=((3x+1)^2)*cos(3x), find dy/dx.


Find the equation to the tangent to the curve x=cos(2y+pi) at (0, pi/4)


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