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(x^2+1)^2

Derivative of (x^2+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/ 
$$\left(x^{2} + 1\right)^{2}$$
(x^2 + 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. Apply the power rule: goes to

      2. The derivative of the constant is zero.

      The result is:

    The result of the chain rule is:

  4. Now simplify:


The answer is:

The graph
The first derivative [src]
    / 2    \
4*x*\x  + 1/
$$4 x \left(x^{2} + 1\right)$$
The second derivative [src]
  /       2\
4*\1 + 3*x /
$$4 \left(3 x^{2} + 1\right)$$
The third derivative [src]
24*x
$$24 x$$
The graph
Derivative of (x^2+1)^2