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

Related Maths A Level answers

All answers ▸

How do I find and determine the nature of stationary points of a function?


If y=5x+4x^3, find dy/dx.


What is dy/dx when y=ln(6x)?


Given that y= x/(2x+5), find dy/dx