What is the difference between quotient rule, product rule and chain rule, and when to use them in differentiation?

Chain rule:when we have a function on its own raised to a certain power. eg: f(x)=(2x+3)3--> f'(x)=3*2(2x+3)2
Product rule:when we have 2 functions or more multiplied by each other.eg: f(x)=g(x)*h(x) --> f'(x)=g'(x)h(x) + g(x)h'(x)
Quotient rule:when we have 2 functions divided by each other. As f(x)=g(x)/h(x) then f'(x)= [h(X)g'(x)-g(x)h'(x)] / [h(x)]2

RA
Answered by Ren A. Maths tutor

7054 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Is there an easy way to remember all the basic graphical transformations?


Core 1 question: Draw the graph "y = 12 - x - x^2"


A curve is described by the equation x^3 - 4y^2 = 12xy. a) Find the points on the curve where x = -8. b) Find the gradient at these points.


How can I determine the characteristics of a curve on an x-y set of axis (eg. points of intersection, stationary points, area under graph)?


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