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Derivative of:
Derivative of x^x^x
Derivative of x^-6
Derivative of x^-11
Derivative of -x/2
Factor polynomial:
x^2-3*x-3
Factor squared:
x^2-3*x-3
Identical expressions
x^ two - three *x- three
x squared minus 3 multiply by x minus 3
x to the power of two minus three multiply by x minus three
x2-3*x-3
x²-3*x-3
x to the power of 2-3*x-3
x^2-3x-3
x2-3x-3
Similar expressions
x^2+3*x-3
x^2-3*x+3

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

Derivative of x^2-3*x-3

The solution

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 2          
x  - 3*x - 3

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

x^2 - 3*x - 3

Detail solution

Differentiate $\left(x^{2} - 3 x\right) - 3$ term by term:
1. Differentiate $x^{2} - 3 x$ 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: $-3$
  The result is: $2 x - 3$
2. The derivative of the constant $-3$ 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