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Derivative of:
Derivative of sin(2*x^2+3)
Derivative of y=4+6x-3x^4
Derivative of x*e^x+11
Derivative of x*cos(3*x)
Graphing y =:
x^2-x-12
Factor squared:
x^2-x-12
Factor polynomial:
x^2-x-12
Identical expressions
x^ two -x- twelve
x squared minus x minus 12
x to the power of two minus x minus twelve
x2-x-12
x²-x-12
x to the power of 2-x-12
Similar expressions
x^2+x-12
x^2-x+12

The derivative of the function/ x^2-x-12

Derivative of x^2-x-12

The solution

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 2         
x  - x - 12

$$\left(x^{2} - x\right) - 12$$

x^2 - x - 12

Detail solution

Differentiate $\left(x^{2} - x\right) - 12$ term by term:
1. Differentiate $x^{2} - x$ 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: $-1$
  The result is: $2 x - 1$
2. The derivative of the constant $-12$ is zero.
The result is: $2 x - 1$

The answer is:

$2 x - 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-1 + 2*x

$$2 x - 1$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify