How would I differentiate something in the form of (ax+b)^n

To tackle this type of question you would need to differentiate by substitution by implying the chain rule.If we substitute ax+b for a single character,lets say q , the expression becomes q^n which is easier to differentiate,we now differentiate this and differentiate the substituted ax+b.We now multiply this together to get the derivative. We multiply the terms toghether because the chain rule states ,dy/dx=(dy/dq)*(dq/dx)

Answered by Maths tutor

3642 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P


Express 3cos(x)+4sin(x) in the form Rsin(x+y) where you should explicitly determine R and y.


Example of product rule - if y=e^(3x-x^3), what are the coordinates of stationary points and what are their nature?


Using the limit definition of the derivative, find the derivative of f(x)=sin(3x) at x=2π


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