Mister Exam

Derivative of x^2lnx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2       
x *log(x)
$$x^{2} \log{\left(x \right)}$$
d / 2       \
--\x *log(x)/
dx           
$$\frac{d}{d x} x^{2} \log{\left(x \right)}$$
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:

  2. Now simplify:


The answer is:

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