Derivative of i^n*log(x)

You have entered [src]

 n       
I *log(x)

$$i^{n} \log{\left(x \right)}$$

i^n*log(x)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
So, the result is: $\frac{i^{n}}{x}$

The answer is:

$\frac{i^{n}}{x}$

The first derivative [src]

 n
I 
--
x

$$\frac{i^{n}}{x}$$

Simplify

The second derivative [src]

  n 
-I  
----
  2 
 x

$$- \frac{i^{n}}{x^{2}}$$

Simplify

The third derivative [src]

   n
2*I 
----
  3 
 x

$$\frac{2 i^{n}}{x^{3}}$$

Simplify