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Derivative of:
Derivative of x^-6
Derivative of x^2*sqrt(1-x^2)
Derivative of x^3*cot(x)
Derivative of sin(x)+3
Graphing y =:
x^2-2x-8
Identical expressions
x^ two -2x- eight
x squared minus 2x minus 8
x to the power of two minus 2x minus eight
x2-2x-8
x²-2x-8
x to the power of 2-2x-8
Similar expressions
x^2-2x+8
x^2+2x-8

The derivative of the function/ x^2-2x-8

Derivative of x^2-2x-8

The solution

You have entered [src]

 2          
x  - 2*x - 8

$$\left(x^{2} - 2 x\right) - 8$$

x^2 - 2*x - 8

Detail solution

Differentiate $\left(x^{2} - 2 x\right) - 8$ 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 $-8$ 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