Mister Exam

Derivative of 3xlogx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
3*x*log(x)
$$3 x \log{\left(x \right)}$$
(3*x)*log(x)
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. The derivative of is .

    The result is:


The answer is:

The graph
The first derivative [src]
3 + 3*log(x)
$$3 \log{\left(x \right)} + 3$$
The second derivative [src]
3
-
x
$$\frac{3}{x}$$
The third derivative [src]
-3 
---
  2
 x 
$$- \frac{3}{x^{2}}$$
The graph
Derivative of 3xlogx