Mister Exam

Derivative of i*n*log(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
I*n*log(x)
inlog(x)i n \log{\left(x \right)}
(i*n)*log(x)
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. The derivative of log(x)\log{\left(x \right)} is 1x\frac{1}{x}.

    So, the result is: inx\frac{i n}{x}


The answer is:

inx\frac{i n}{x}

The first derivative [src]
I*n
---
 x 
inx\frac{i n}{x}
The second derivative [src]
-I*n 
-----
   2 
  x  
inx2- \frac{i n}{x^{2}}
The third derivative [src]
2*I*n
-----
   3 
  x  
2inx3\frac{2 i n}{x^{3}}