Differentiate ((x^2)+1)^2

To differentiate this, we use the power rule and the chain rule. First we differentiate the outside part, which equals 2((x^2)+1). However, because the inside of the square is a function, we have to differentiate the inside too. This equals to 2x. The chain rule says that we multiply the derivative of the inside by the derivative of the outside: Doing this, we get 4x((x^2)+1)

AC
Answered by Adrian C. Maths tutor

6648 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the inequality |4x-3|<|2x+1|.


How do I solve quadratic equation by completing the square : X^2 - 4X = 5


Given that y = (3x^4 + x)^5, find dy/dx using the chain rule.


how to turn a fraction in the form of (x + a)/(x + b)^2 into partial fractions?


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