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

5341 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate (x+3)/(x(x-3)) with respect to x


If we have a vector 4x + 6y + z and another vector 3x +11y + 2z then what is the angle between the two?Give the answer in radians


Differentiate y=(x^2 + 2x)cos(3x)


What is differentiation and how do I do it?


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