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Derivative of:
Derivative of -e^x
Derivative of 1/2*sqrt(x)
Derivative of x-7
Derivative of x^5-5*x^3-20*x
Graphing y =:
x^3-2*x
Factor polynomial:
x^3-2*x
Limit of the function:
x^3-2*x
Identical expressions
x^ three - two *x
x cubed minus 2 multiply by x
x to the power of three minus two multiply by x
x3-2*x
x³-2*x
x to the power of 3-2*x
x^3-2x
x3-2x
Similar expressions
x^3-2x^6+6x
x^3+2*x
y=√x^3-2x
(x^3-2x^2+5)^8
y=x^3-2x^2+6
y=(x^3-2x+1)/ln(⁡x)

The derivative of the function/ x^3-2*x

Derivative of x^3-2*x

The solution

You have entered [src]

 3      
x  - 2*x

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

x^3 - 2*x

Detail solution

Differentiate $x^{3} - 2 x$ 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: $-2$
The result is: $3 x^{2} - 2$

The answer is:

$3 x^{2} - 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-2 + 3*x

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

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-2*x