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Derivative of:
Derivative of 1/3*x^3
Derivative of x*x^(1/2)
Derivative of x^(5/2)
Derivative of (x-4)^2
Integral of d{x}:
(x-4)^2
Graphing y =:
(x-4)^2
Identical expressions
(x- four)^ two
(x minus 4) squared
(x minus four) to the power of two
(x-4)2
x-42
(x-4)²
(x-4) to the power of 2
x-4^2
Similar expressions
2*sin(3*x-4)^(2)+cos(x)
(x+4)^2

The derivative of the function/ (x-4)^2

Derivative of (x-4)^2

The solution

You have entered [src]

       2
(x - 4)

$$\left(x - 4\right)^{2}$$

(x - 4)^2

Detail solution

Let $u = x - 4$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x - 4\right)$ :
1. Differentiate $x - 4$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $-4$ is zero.
  The result is: $1$
The result of the chain rule 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

The graph

Derivative of (x-4)^2