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Derivative of:
Derivative of x^n
Derivative of 9
Derivative of x^2*e^(-x)
Derivative of (x+2)^2
Graphing y =:
(x+2)^2
Canonical form:
(x+2)^2
Integral of d{x}:
(x+2)^2
Identical expressions
(x+ two)^ two
(x plus 2) squared
(x plus 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
(x-2)^2
(x^3-3x+2)^(2/3)
(e^(cosx)+2)^2

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

Derivative of (x+2)^2

The solution

You have entered [src]

       2
(x + 2)

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

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

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

Transform

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