How do you use the chain rule?


The chain rule is used to differentiate when there is a function within another function. For example y=(4x+6)0.5, y=(x+1)3The general formula for the chain rule is dy/dx= dy/du * du/dxAn example of this is differentiate y=(2x+3)3Let u= 2x +3 this means y = u3differentiate each term ...du/dx = 2. dy/du = 3u2. so dy/dx = dy/ du * du/dx = 3u2 * 2 = 6u2substitute the expression for u back into the equation so that it is in terms of x. dy/dx = 6(2x+3)2

Answered by Frances C. Maths tutor

3077 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

For rectangles of area 100 m^2 what is the perimeter of the rectangle with the smallest perimeter?


Is AB perpendicular to BC where A =(2,0,-1), B=(4,3,-6) and C = (9,3,-4)


Find the perpendicular bisector passing through the stationary point of the curve y=x^2+2x-7.


An object of mass 3kg is held at rest on a rough plane. The plane is inclined at 30º to the horizontal and has a coefficient of friction of 0.2. The object is released, what acceleration does the object move with?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences