Mister Exam

Derivative of x^3-2

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3    
x  - 2
x32x^{3} - 2
x^3 - 2
Detail solution
  1. Differentiate x32x^{3} - 2 term by term:

    1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

    2. The derivative of the constant 2-2 is zero.

    The result is: 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^3-2