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Derivative of:
Derivative of log
Derivative of log(e)
Derivative of log(1/x)
Derivative of log(x^-1)
Graphing y =:
(x-5)^2
Integral of d{x}:
(x-5)^2
Identical expressions
(x- five)^ two
(x minus 5) squared
(x minus five) to the power of two
(x-5)2
x-52
(x-5)²
(x-5) to the power of 2
x-5^2
Similar expressions
(x+5)^2

The derivative of the function/ (x-5)^2

Derivative of (x-5)^2

The solution

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       2
(x - 5)

$$\left(x - 5\right)^{2}$$

(x - 5)^2

Detail solution

Let $u = x - 5$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x - 5\right)$ :
1. Differentiate $x - 5$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $-5$ is zero.
  The result is: $1$
The result of the chain rule is:

$2 x - 10$

The answer is:

$2 x - 10$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-10 + 2*x

$$2 x - 10$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x-5)^2