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Derivative of log((1+x)/(1+x))

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   /1 + x\
log|-----|
   \1 + x/
$$\log{\left(\frac{x + 1}{x + 1} \right)}$$
log((1 + x)/(1 + x))
Detail solution
  1. Let .

  2. The derivative of is .

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

    1. Apply the quotient rule, which is:

      and .

      To find :

      1. Differentiate term by term:

        1. The derivative of the constant is zero.

        2. Apply the power rule: goes to

        The result is:

      To find :

      1. Differentiate term by term:

        1. The derivative of the constant is zero.

        2. Apply the power rule: goes to

        The result is:

      Now plug in to the quotient rule:

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
0
$$0$$
The second derivative [src]
0
$$0$$
The third derivative [src]
0
$$0$$
5-я производная [src]
0
$$0$$