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(2*x+1)^2

Derivative of (2*x+1)^2

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
         2
(2*x + 1) 
$$\left(2 x + 1\right)^{2}$$
(2*x + 1)^2
Detail solution
  1. Let .

  2. Apply the power rule: goes to

  3. Then, apply the chain rule. Multiply by :

    1. Differentiate term by term:

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      2. The derivative of the constant is zero.

      The result is:

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
4 + 8*x
$$8 x + 4$$
The second derivative [src]
8
$$8$$
The third derivative [src]
0
$$0$$
The graph
Derivative of (2*x+1)^2