Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of 5*x^2-2/sqrt(x)+sin(pi/4)
Derivative of i*n*sin(x)
Derivative of e^(-2*x)
Derivative of e^t
Integral of d{x}:
(x+5)^2
Inequation:
(x+5)^2
Graphing y =:
(x+5)^2
Identical expressions
(x+ five)^ two
(x plus 5) squared
(x plus five) to the power of two
(x+5)2
x+52
(x+5)²
(x+5) to the power of 2
x+5^2
Similar expressions
ln(3x+5)^2
(x-5)^2

The derivative of the function/ (x+5)^2

Derivative of (x+5)^2

The solution

You have entered [src]

       2
(x + 5)

$$\left(x + 5\right)^{2}$$

(x + 5)^2

Detail solution

Let $u = x + 5$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x + 5\right)$ :
1. Differentiate $x + 5$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $5$ is zero.
  The result is: $1$
The result of the chain rule is:

$2 x + 10$

The answer is:

$2 x + 10$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

10 + 2*x

$$2 x + 10$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x+5)^2