Derivative of lnx/2

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log(x)
------
  2

$$\frac{\log{\left(x \right)}}{2}$$

log(x)/2

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: $\frac{1}{2 x}$

The answer is:

$\frac{1}{2 x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 1 
---
2*x

$$\frac{1}{2 x}$$

Simplify

The second derivative [src]

-1  
----
   2
2*x

$$- \frac{1}{2 x^{2}}$$

Simplify

The third derivative [src]

1 
--
 3
x

$$\frac{1}{x^{3}}$$

Simplify

The graph