Mister Exam

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

Derivative of (x+4)^2

The solution

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       2
(x + 4)

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

d /       2\
--\(x + 4) /
dx

$$\frac{d}{d x} \left(x + 4\right)^{2}$$

Transform

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