Explain the Chain Rule

The chain rule is used to differentiate composite functions, ie "a function of a function". In this case we have an outer function and an inner function. For example

Differentiate f(g(x)). Here f is the outer function and g the inner. 

The derivative of this function is found by differentiating the outer function and evaluating its derivative at the point g(x) and then multiplying by the derivative of g(x):

f(g(x))' = f'(g(x))g'(x)

AC
Answered by Alex C. Maths tutor

3938 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

d/dx[sin(x) + cos(x)]


Solve the ODE y' = -x/y.


A particle of mass 5kg is held at rests on a slope inclined at 30 degrees to the horizontal. The coefficient of friction for the slope is 0.7, determine whether the particle will move when released.


A curve has equation x^2 +2xy–3y^2 +16=0. Find the coordinates of the points on the curve where dy/dx = 0.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences