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Derivative of:
Derivative of x^(4/5)
Derivative of x^2+5
Derivative of x^3-1/5*x^2+2*x-4
Derivative of (x+1)(x-1)
Integral of d{x}:
(x+1)^4
Graphing y =:
(x+1)^4
Identical expressions
(x+ one)^ four
(x plus 1) to the power of 4
(x plus one) to the power of four
(x+1)4
x+14
(x+1)⁴
x+1^4
Similar expressions
(x-1)^4
(3x+1)^4

The derivative of the function/ (x+1)^4

Derivative of (x+1)^4

The solution

You have entered [src]

       4
(x + 1)

$$\left(x + 1\right)^{4}$$

(x + 1)^4

Detail solution

Let $u = x + 1$ .
Apply the power rule: $u^{4}$ goes to $4 u^{3}$
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:

$4 \left(x + 1\right)^{3}$
Now simplify:

$4 \left(x + 1\right)^{3}$

The answer is:

$4 \left(x + 1\right)^{3}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         3
4*(x + 1)

$$4 \left(x + 1\right)^{3}$$

Simplify

The second derivative [src]

          2
12*(1 + x)

$$12 \left(x + 1\right)^{2}$$

Simplify

The third derivative [src]

24*(1 + x)

$$24 \left(x + 1\right)$$

Simplify

The graph

Derivative of (x+1)^4