Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of 2^(3*x)
Derivative of -2/x
Derivative of sin(x)*cos(x)
Derivative of 1/cos(x)
Integral of d{x}:
(x+2)^3
Graphing y =:
(x+2)^3
Canonical form:
(x+2)^3
Identical expressions
(x+ two)^ three
(x plus 2) cubed
(x plus two) to the power of three
(x+2)3
x+23
(x+2)³
(x+2) to the power of 3
x+2^3
Similar expressions
e^ctg5x/(3x-4x+2)^3
(x-2)^3

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

Derivative of (x+2)^3

The solution

You have entered [src]

       3
(x + 2)

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

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

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

Transform

Detail solution

Let $u = x + 2$ .
Apply the power rule: $u^{3}$ goes to $3 u^{2}$
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:

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

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
3*(x + 2)

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

Simplify

The second derivative [src]

6*(2 + x)

$$6 \left(x + 2\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of (x+2)^3