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.