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Derivative of:
Derivative of x+1
Derivative of (x-2)^2
Derivative of x^9
Derivative of ln(y)
Sum of series:
(x-2)^2
Integral of d{x}:
(x-2)^2
Graphing y =:
(x-2)^2
Identical expressions
(x- two)^ two
(x minus 2) squared
(x minus two) to the power of two
(x-2)2
x-22
(x-2)²
(x-2) to the power of 2
x-2^2
Similar expressions
y=(x^2-4x)/(x-2)^2
(x+2)^2
y=(x-2)^2(x+1)^3
y=((x-2)^2)*(x+2)

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

Derivative of (x-2)^2

The solution

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       2
(x - 2)

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

(x - 2)^2

Detail solution

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

$2 x - 4$

The answer is:

$2 x - 4$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-4 + 2*x

$$2 x - 4$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x-2)^2