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Derivative of:
Derivative of x^sqrt(x)
Derivative of log(x+2)
Derivative of ln1
Derivative of e^(sin(x)-2*x^3)
Integral of d{x}:
(x+3)^2
Graphing y =:
(x+3)^2
Identical expressions
y=(x+ three)^ two
y equally (x plus 3) squared
y equally (x plus three) to the power of two
y=(x+3)2
y=x+32
y=(x+3)²
y=(x+3) to the power of 2
y=x+3^2
Similar expressions
y=(x-3)^2

The derivative of the function/ y=(x+3)^2

Derivative of y=(x+3)^2

The solution

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       2
(x + 3)

$$\left(x + 3\right)^{2}$$

d /       2\
--\(x + 3) /
dx

$$\frac{d}{d x} \left(x + 3\right)^{2}$$

Transform

Detail solution

Let $u = x + 3$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x + 3\right)$ :
1. Differentiate $x + 3$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $3$ is zero.
  The result is: $1$
The result of the chain rule is:

$2 x + 6$

The answer is:

$2 x + 6$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

6 + 2*x

$$2 x + 6$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=(x+3)^2