Mister Exam

Derivative of xln(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
x*log(x)
$$x \log{\left(x \right)}$$
d           
--(x*log(x))
dx          
$$\frac{d}{d x} x \log{\left(x \right)}$$
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(x)
$$\log{\left(x \right)} + 1$$
The second derivative [src]
1
-
x
$$\frac{1}{x}$$
The third derivative [src]
-1 
---
  2
 x 
$$- \frac{1}{x^{2}}$$
The graph
Derivative of xln(x)