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Derivative of:
Derivative of log(x+3)^3
Derivative of e^(2*x)*cos(x)
Derivative of cos(3*x)^(2)
Derivative of 5e^x
Inequation:
(x+5)^2
Integral of d{x}:
(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