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

7052 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation y = 20x - x^2 - 2x^3 . The curve has a stationary point at the point M where x = −2. Find the x- coordinate of the other stationary point of the curve


Find the equation to the tangent to the curve x=cos(2y+pi) at (0, pi/4)


Why does adding a constant to a function's input (as in f(x-a)) shift the plot of the function along the x-axis?


Differentiate y=(4x - 5)^5 by using the chain rule.


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