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

5391 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find dy/dx when y = x^2(cos(x)).


A curve C has equation: x^3+2xy-x-y^3-20=0. Find dy/dx in terms of x and y.


How would I answer this question? Use factor theorem to show (x-2) is a factor of f(x) = 2x^3 -7x^2 +4x +4.


Solve the simultaneous equation: y+4x+1=0 y^2+5x^2+2x=0


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