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Derivative of:
Derivative of f(x)=1
Derivative of e^x*x^2
Derivative of 2*sqrt(x^3)
Derivative of y=3x^3
Sum of series:
(x-6)^2
Identical expressions
(x- six)^ two
(x minus 6) squared
(x minus six) to the power of two
(x-6)2
x-62
(x-6)²
(x-6) to the power of 2
x-6^2
Similar expressions
(x+6)^2

The derivative of the function/ (x-6)^2

Derivative of (x-6)^2

The solution

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       2
(x - 6)

$$\left(x - 6\right)^{2}$$

(x - 6)^2

Detail solution

Let $u = x - 6$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x - 6\right)$ :
1. Differentiate $x - 6$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $-6$ is zero.
  The result is: $1$
The result of the chain rule is:

$2 x - 12$

The answer is:

$2 x - 12$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-12 + 2*x

$$2 x - 12$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x-6)^2