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

6440 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the integral of xcos(2x) with respect to x


A small stone is projected verically upwards from a point O with a speed of 19.6ms^-1. Modeeling the stone as a particle moving freely under gravity find the time for which the stone is more than 14.6m above O


Using the addition formula for sin(x+y), find sin(3x) in terms of sin(x) and hence show that sin(10) is a root of the equation 8x^3 - 6x + 1


Integration


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:

© 2025 by IXL Learning