Mister Exam

Derivative of x^3

the exact derivative of f(x)=x^3 at x=5

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3
x 
x3x^{3}
x^3
Detail solution
  1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}


The answer is:

3x23 x^{2}

The graph
02468-8-6-4-2-1010-20002000
The first derivative [src]
   2
3*x 
3x23 x^{2}
The second derivative [src]
6*x
6x6 x
The third derivative [src]
6
66
The graph
Derivative of x^3