Differentiate f(x)= x^3 + x^(1/3)-2

f'(x)= 3x^2+1/3x^(-2/3)

To differentiate you need to multiply the coefficant of the x dependent terms by the powers and then the power of x goes down by one. 

For example: differentiate f(x) = x^n.

f'(x) = nx^(n-1)

Similary when you differentiate a constant it becomes 0.

JR
Answered by Jathursa R. Maths tutor

3528 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the cartesian equation of a curve?


Factorise x^3-6x^2+9x.


Integrate x^2 + 2x + 5x^-1


A curve is defined for x > 0. The gradient of the curve at the point (x,y) is given by dy/dx = x^(3/2)-2x. Show that this curve has a minimum point and find it.


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