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

Derivative of e^(x+2)

The solution

You have entered [src]

 x + 2
E

$$e^{x + 2}$$

E^(x + 2)

Detail solution

Let $u = x + 2$ .
The derivative of $e^{u}$ is itself.
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:

$e^{x + 2}$
Now simplify:

$e^{x + 2}$

The answer is:

$e^{x + 2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x + 2
E

$$e^{x + 2}$$

Simplify

The second derivative [src]

 2 + x
e

$$e^{x + 2}$$

Simplify

The third derivative [src]

 2 + x
e

$$e^{x + 2}$$

Simplify

The graph

Derivative of e^(x+2)