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Derivative of:
Derivative of 1
Derivative of (x+1)^2
Derivative of x^(2/3)
Derivative of tanx^2
Integral of d{x}:
(x+1)^2
Canonical form:
(x+1)^2
Graphing y =:
(x+1)^2
Identical expressions
(x+ one)^ two
(x plus 1) squared
(x plus one) to the power of two
(x+1)2
x+12
(x+1)²
(x+1) to the power of 2
x+1^2
Similar expressions
y=root5(3x+1)^2
(x^3+2x^2)/(x+1)^2
(x-1)^2
(sin(2*x)+1)^2

The derivative of the function/ (x+1)^2

Derivative of (x+1)^2

The solution

You have entered [src]

       2
(x + 1)

$$\left(x + 1\right)^{2}$$

(x + 1)^2

Detail solution

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

$2 x + 2$

The answer is:

$2 x + 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2 + 2*x

$$2 x + 2$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x+1)^2