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The derivative of the function/ (x+8)^2

Derivative of (x+8)^2

The solution

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       2
(x + 8)

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

(x + 8)^2

Detail solution

Let $u = x + 8$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x + 8\right)$ :
1. Differentiate $x + 8$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $8$ is zero.
  The result is: $1$
The result of the chain rule is:

$2 x + 16$

The answer is:

$2 x + 16$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

16 + 2*x

$$2 x + 16$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x+8)^2