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Derivative of:
Derivative of x^7*e^x
Derivative of x/3+3/x
Derivative of 6^x
Derivative of (x+3)^4
Canonical form:
(x+3)^4
Integral of d{x}:
(x+3)^4
Identical expressions
(x+ three)^ four
(x plus 3) to the power of 4
(x plus three) to the power of four
(x+3)4
x+34
(x+3)⁴
x+3^4
Similar expressions
(x-3)^4

The derivative of the function/ (x+3)^4

Derivative of (x+3)^4

The solution

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       4
(x + 3)

$$\left(x + 3\right)^{4}$$

(x + 3)^4

Detail solution

Let $u = x + 3$ .
Apply the power rule: $u^{4}$ goes to $4 u^{3}$
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:

$4 \left(x + 3\right)^{3}$
Now simplify:

$4 \left(x + 3\right)^{3}$

The answer is:

$4 \left(x + 3\right)^{3}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         3
4*(x + 3)

$$4 \left(x + 3\right)^{3}$$

Simplify

The second derivative [src]

          2
12*(3 + x)

$$12 \left(x + 3\right)^{2}$$

Simplify

The third derivative [src]

24*(3 + x)

$$24 \left(x + 3\right)$$

Simplify

The graph

Derivative of (x+3)^4