Mister Exam

Other calculators

x^3-3
The derivative of the function/ x^3-3

Derivative of x^3-3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3    
x  - 3
x3−3x^{3} - 3 
x^3 - 3
Detail solution

  1. Differentiate x3−3x^{3} - 3 term by term:

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

    2. The derivative of the constant −3-3 is zero.

    The result is: 3x23 x^{2}

The answer is:

3x23 x^{2}

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2
3*x
3x23 x^{2}
Simplify
The second derivative [src] 
6*x
6x6 x
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of x^3-3
    © Mister Exam – Calculator