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Derivative of:
Derivative of x^-6
Derivative of x*2^x
Derivative of (x^2)/36
Derivative of sin(x)+3
Factor polynomial:
x^3-x+2
Integral of d{x}:
x^3-x+2
Graphing y =:
x^3-x+2
Identical expressions
x^ three -x+ two
x cubed minus x plus 2
x to the power of three minus x plus two
x3-x+2
x³-x+2
x to the power of 3-x+2
Similar expressions
x^3-x-2
x^3+x+2

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

Derivative of x^3-x+2

The solution

You have entered [src]

 3        
x  - x + 2

$$\left(x^{3} - x\right) + 2$$

x^3 - x + 2

Detail solution

Differentiate $\left(x^{3} - x\right) + 2$ term by term:
1. Differentiate $x^{3} - x$ 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: $-1$
  The result is: $3 x^{2} - 1$
2. The derivative of the constant $2$ is zero.
The result is: $3 x^{2} - 1$

The answer is:

$3 x^{2} - 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-1 + 3*x

$$3 x^{2} - 1$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify