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Derivative of:
Derivative of x^(-2)
Derivative of (x^2-1)^3
Derivative of sqrt(1/x)
Derivative of sin(x)^(9)
Graphing y =:
x^3-2x+1
Identical expressions
x^ three -2x+ one
x cubed minus 2x plus 1
x to the power of three minus 2x plus one
x3-2x+1
x³-2x+1
x to the power of 3-2x+1
Similar expressions
x^3+2x+1
x^3-2x-1

The derivative of the function/ x^3-2x+1

Derivative of x^3-2x+1

The solution

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 3          
x  - 2*x + 1

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

d / 3          \
--\x  - 2*x + 1/
dx

$$\frac{d}{d x} \left(x^{3} - 2 x + 1\right)$$

Transform

Detail solution

Differentiate $x^{3} - 2 x + 1$ 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: $2$
  So, the result is: $-2$
3. The derivative of the constant $1$ is zero.
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^3-2x+1