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Derivative of:
Derivative of 2tgx
Derivative of 4*sin(x)*cos(x)
Derivative of y=x^2-2x+3
Derivative of x^3-3x^2+5x-2
Graphing y =:
x^2-2x+3
Integral of d{x}:
x^2-2x+3
Canonical form:
x^2-2x+3
Identical expressions
y=x^ two -2x+ three
y equally x squared minus 2x plus 3
y equally x to the power of two minus 2x plus three
y=x2-2x+3
y=x²-2x+3
y=x to the power of 2-2x+3
Similar expressions
[√(x^2)-2x+3]
y=x^2-2x-3
y=x^2+2x+3

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

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

The solution

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 2          
x  - 2*x + 3

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

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

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

Transform

Detail solution

Differentiate $x^{2} - 2 x + 3$ 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: $2$
  So, the result is: $-2$
3. 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 y=x^2-2x+3