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Derivative of:
Derivative of e^(-2*x)
Derivative of e^t
Derivative of e^(-x)*cos(x)
Derivative of log(x+3)^3
Graphing y =:
x^3-3x+2
Integral of d{x}:
x^3-3x+2
Identical expressions
x^ three -3x+ two
x cubed minus 3x plus 2
x to the power of three minus 3x plus two
x3-3x+2
x³-3x+2
x to the power of 3-3x+2
Similar expressions
x^3-3x-2
x^3+3x+2

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

Derivative of x^3-3x+2

The solution

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 3          
x  - 3*x + 2

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

d / 3          \
--\x  - 3*x + 2/
dx

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

Transform

Detail solution

Differentiate $x^{3} - 3 x + 2$ 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: $-3$
3. The derivative of the constant $2$ 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^3-3x+2