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Derivative of:
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Graphing y =:
x^3-3*x+1
Identical expressions
x^ three - three *x+ one
x cubed minus 3 multiply by x plus 1
x to the power of three minus three multiply by x plus one
x3-3*x+1
x³-3*x+1
x to the power of 3-3*x+1
x^3-3x+1
x3-3x+1
Similar expressions
x^3-3*x-1
x^3+3*x+1
y=x^5-2x^3-3x+1

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

Derivative of x^3-3*x+1

The solution

You have entered [src]

 3          
x  - 3*x + 1

$$\left(x^{3} - 3 x\right) + 1$$

x^3 - 3*x + 1

Detail solution

Differentiate $\left(x^{3} - 3 x\right) + 1$ term by term:
1. Differentiate $x^{3} - 3 x$ term by term:
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  2. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x$ goes to $1$
    So, the result is: $-3$
  The result is: $3 x^{2} - 3$
2. The derivative of the constant $1$ is zero.
The result is: $3 x^{2} - 3$

The answer is:

$3 x^{2} - 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-3 + 3*x

$$3 x^{2} - 3$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-3*x+1