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Derivative of:
Derivative of e^(2-x)
Derivative of (3-2*x)*cos(x)+2*sin(x)+4
Derivative of e^sin(x)^(2)
Derivative of (cos(x))^sin(x)
Graphing y =:
x^2-2*x+3
Factor polynomial:
x^2-2*x+3
Factor squared:
x^2-2*x+3
Identical expressions
x^ two - two *x+ three
x squared minus 2 multiply by x plus 3
x to the power of two minus two multiply by x plus three
x2-2*x+3
x²-2*x+3
x to the power of 2-2*x+3
x^2-2x+3
x2-2x+3
Similar expressions
x^2-2*x-3
x^2+2*x+3
y=(x^2-2x+3)e^x

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

Derivative of x^2-2*x+3

The solution

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 2          
x  - 2*x + 3

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

x^2 - 2*x + 3

Detail solution

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

The answer is:

$2 x - 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2 + 2*x

$$2 x - 2$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2-2*x+3