Can you give an example of using the chain rule for differentiation? Example: Let y=(6 + 2x + 2x^2)^3, find dy/dx.

The chain rule is given by dy/dx= (dy/du)(du/dx). If we set u=6+2x+2x2then, y=u3 thus, dy/dx=(3u2)(2+4x) = (3(6+2x+2x2)2)(2+4x). Example does not ask to simplify expression or evaluate at any particular value of x, so we have found the solution! There are some formatting issues here that will not be an issue with a whiteboard

AH
Answered by Anthony H. Maths tutor

3086 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The line y = (a^2)x and the curve y = x(b − x)^2, where 0<a<b , intersect at the origin O and at points P and Q. Find the coordinates of P and Q, where P<Q, and sketch the line and the curve on the same axes. Find the tangent at the point P.


The curve C has the equation y=3x/(9+x^2 ) (a) Find the turning points of the curve C (b) Using the fact that (d^2 y)/(dx^2 )=(6x(x^2-27))/(x^2+9)^3 or otherwise, classify the nature of each turning point of C


Show that r^2(r + 1)^2 - r^2(r - 1)^2 ≡ 4r^3.


How do you prove the 1^2 +2^2+.....+n^2 = n/6 (n+1) (2n+1) by induction?


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