Differentiate y= (2x+1)^3. [The chain rule]

For maths questions I feel that getting your head around the concepts are difficult but once achieved allow you to comfortably answer a wide range of questions. Therefore for maths tuition I think it is important to find a method that works for the student and then practice using it through multiple questions.  

Obviously it is easier to discuss concepts face-to-face however for this example I've found a four step process helps me answer questions on the chain rule. 

1) Differentiate the thing in the brackets

 y = 2x+1    -->      dy/dx = 2

2) Multiply that by the induction outside the bracket

2 X 3 = 6

3) Stick this number before the initial bracket

6(2x+1)^3

4) Minus 1 off the initial indicy

6(2x+1)^2 

So dy/dx = 6(2x+1)^2

This is just one method. There is another one substituting U into the equation and then saying [du/dx X dy/du = dy/dx]. I would go through both methods with the students so they can use the one that works for them. 

Answered by James J. Maths tutor

17265 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve $\color{orange}{a}x^2 - \color{blue}{b}x + \color{green}{c} = 0$


Use the chain rule to differentiate y=(x-3)^(-3)


How do you find the point of intersection of two vector lines?


find the diffrential of 3sin2x+4cos2x


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