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Derivative of:
Derivative of -e^x
Derivative of 1/2*sqrt(x)
Derivative of x-7
Derivative of x^5-5*x^3-20*x
Integral of d{x}:
x^2-2x-3
Graphing y =:
x^2-2x-3
Canonical form:
x^2-2x-3
Identical expressions
y=x^ two -2x- three
y equally x squared minus 2x minus 3
y equally x to the power of two minus 2x minus three
y=x2-2x-3
y=x²-2x-3
y=x to the power of 2-2x-3
Similar expressions
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

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

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 y=x^2-2x-3