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Derivative of:
Derivative of e^(2*cos(t)^(2)-2*sin(t)^(2))
Derivative of cos(sqrt(x))
Derivative of 3*sqrt(x)
Derivative of 2x+1
Integral of d{x}:
x^2-3x+2
Graphing y =:
x^2-3x+2
Canonical form:
x^2-3x+2
Identical expressions
x^ two -3x+ two
x squared minus 3x plus 2
x to the power of two minus 3x plus two
x2-3x+2
x²-3x+2
x to the power of 2-3x+2
Similar expressions
x^2+3x+2
x^2-3x-2
1/(x^2-3*x+2)

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

Derivative of x^2-3x+2

The solution

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 2          
x  - 3*x + 2

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

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

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

Transform

Detail solution

Differentiate $x^{2} - 3 x + 2$ term by term:
1. Apply the power rule: $x^{2}$ goes to $2 x$
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: $2 x - 3$

The answer is:

$2 x - 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-3 + 2*x

$$2 x - 3$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2-3x+2