Use the chain rule to differentiate y=(x-3)^(-3)

Hint: the chain rule states that for y=u(x) ^a, the derivative will be dy/dx = dy/du * du/dxSo we just need to find dy/du and du/dx!In this case u(x)=x-3, so du/dx = 1.from y=u^(-3), dy/du = -3u^(-4).This means we know dy/dx = -3u^(-4) * 1Converting from u to x, we get dy/dx = -3 (x-3)^(-4) .... done! 

RT
Answered by Rosemary T. Maths tutor

5339 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the coordinates of the stationary points y=x^4-8x^2+3


Find the coordinates of the turning points of the curve y = 4/3 x^3 + 3x^2-4x+1


Find the integral of xe^(-2x) between the limits of 0 and 1 with respect to x.


Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)


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