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Derivative of:
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Derivative of (x-2)^2*(x-4)+5
Derivative of (x^2-1)*(x^4+2)
Graphing y =:
x^2-8x+12
Integral of d{x}:
x^2-8x+12
Identical expressions
x^ two -8x+ twelve
x squared minus 8x plus 12
x to the power of two minus 8x plus twelve
x2-8x+12
x²-8x+12
x to the power of 2-8x+12
Similar expressions
x^2-8x-12
x^2+8x+12

The derivative of the function/ x^2-8x+12

Derivative of x^2-8x+12

The solution

You have entered [src]

 2           
x  - 8*x + 12

$$\left(x^{2} - 8 x\right) + 12$$

x^2 - 8*x + 12

Detail solution

Differentiate $\left(x^{2} - 8 x\right) + 12$ term by term:
1. Differentiate $x^{2} - 8 x$ 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: $-8$
  The result is: $2 x - 8$
2. The derivative of the constant $12$ is zero.
The result is: $2 x - 8$

The answer is:

$2 x - 8$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-8 + 2*x

$$2 x - 8$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify