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-y(y^2+1)

Derivative of -y(y^2+1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   / 2    \
-y*\y  + 1/
$$- y \left(y^{2} + 1\right)$$
(-y)*(y^2 + 1)
Detail solution
  1. Apply the product rule:

    ; to find :

    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:

    ; to find :

    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 is:


The answer is:

The graph
The first derivative [src]
        2
-1 - 3*y 
$$- 3 y^{2} - 1$$
The second derivative [src]
-6*y
$$- 6 y$$
The third derivative [src]
-6
$$-6$$
The graph
Derivative of -y(y^2+1)