Mister Exam

Other calculators

x^3-3*x+1
The derivative of the function/ x^3-3*x+1

Derivative of x^3-3*x+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3          
x  - 3*x + 1
(x3−3x)+1\left(x^{3} - 3 x\right) + 1 
x^3 - 3*x + 1
Detail solution

  1. Differentiate (x3−3x)+1\left(x^{3} - 3 x\right) + 1 term by term:

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

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

      2. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: xx goes to 11

        So, the result is: −3-3

      The result is: 3x2−33 x^{2} - 3

    2. The derivative of the constant 11 is zero.

    The result is: 3x2−33 x^{2} - 3

The answer is:

3x2−33 x^{2} - 3

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 + 3*x
3x2−33 x^{2} - 3
Simplify
The second derivative [src] 
6*x
6x6 x
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of x^3-3*x+1
    © Mister Exam – Calculator