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

6762 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to prove that (from i=0 to n)Σi^2= (n/6)(n+1)(2n+1), by induction.


Differentiate y=ln(x)+5x^2, and give the equation of the tangent at the point x=1


You are given the equation y=x^2. Determine whether or not the equation has any maximums or minimums and identify them (whether they are maximums or minimums).


Find all values of x in the interval 0 ≤ x ≤ 2pi for 2sin(x)tan(x)=3


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