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Graphing y =:
x^3-x^2-x+2
Equation:
x^3-x^2-x+2
Identical expressions
x^ three -x^ two -x+ two
x cubed minus x squared minus x plus 2
x to the power of three minus x to the power of two minus x plus two
x3-x2-x+2
x³-x²-x+2
x to the power of 3-x to the power of 2-x+2
Similar expressions
x^3-x^2-x-2
x^3+x^2-x+2
x^3-x^2+x+2

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

Derivative of x^3-x^2-x+2

The solution

You have entered [src]

 3    2        
x  - x  - x + 2

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

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

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

Transform

Detail solution

Differentiate $x^{3} - x^{2} - x + 2$ 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. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $- 2 x$
3. 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: $-1$
4. The derivative of the constant $2$ is zero.
The result is: $3 x^{2} - 2 x - 1$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

              2
-1 - 2*x + 3*x

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

Simplify

The second derivative [src]

2*(-1 + 3*x)

$$2 \cdot \left(3 x - 1\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-x^2-x+2