Find the derivative of the following function: f(x) = x(x^3 + 2x)

f(x) becomes f'(x)1) First multiply out the brackets (by adding the indices) = x^4 + 2x^22) Then differentiate this. The indices moves to the front and multiplied by the number before the x. The indices is then decreased by 1.3) x^ 4 becomes 4x^34) 2x^2 becomes 4x^1... anything to the power of 1 is just itself so this becomes just 4x5) The final answer is f'(x) = 4x^3 + 4x

SS
Answered by Shamailla S. Maths tutor

2927 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Use the double angle formulae and the identity cos(A+B)≡cos(A)cos(B)−sin(A)sin(B) to obtain an expression for cos 3x in terms of cos x only


Using Discriminants to Find the Number of Roots of a Quadratic Curve


When using the trapezium rule to approximate area underneath a curve between 2 limits, what is the effect of increasing the number of strips used?


Using trigonometric identities, show that (cos(x) + sin(x))^2=1+sin(2x)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning