Mister Exam

Derivative of y(lny)

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

The graph:

from to

Piecewise:

The solution

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

    ; to find :

    1. Apply the power rule: goes to

    ; to find :

    1. The derivative of is .

    The result is:


The answer is:

The graph
The first derivative [src]
1 + log(y)
$$\log{\left(y \right)} + 1$$
The second derivative [src]
1
-
y
$$\frac{1}{y}$$
The third derivative [src]
-1 
---
  2
 y 
$$- \frac{1}{y^{2}}$$
The graph
Derivative of y(lny)