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Derivative of:
Derivative of 4/x^3
Derivative of x^2/(x^2+1)
Derivative of (x-4)^2
Derivative of x^3-3*x
Graphing y =:
x^3-3*x
Integral of d{x}:
x^3-3*x
Limit of the function:
x^3-3*x
Identical expressions
x^ three - three *x
x cubed minus 3 multiply by x
x to the power of three minus three multiply by x
x3-3*x
x³-3*x
x to the power of 3-3*x
x^3-3x
x3-3x
Similar expressions
x^3+3*x
y=(x^3)-(3x^2)+6x-2
x^3-3x+2
y=(x^3-3x^2)*√x
(x^3-3x)(2x^2+3x+5)
((x^3)-3x^2)/((x-1)^3)

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

Derivative of x^3-3*x

The solution

You have entered [src]

 3      
x  - 3*x

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

d / 3      \
--\x  - 3*x/
dx

$$\frac{d}{d x} \left(x^{3} - 3 x\right)$$

Transform

Detail solution

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. 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: $3$
  So, the result is: $-3$
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