Mister Exam

Derivative of log8(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
log(x)
------
log(8)
$$\frac{\log{\left(x \right)}}{\log{\left(8 \right)}}$$
log(x)/log(8)
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. The derivative of is .

    So, the result is:


The answer is:

The graph
The first derivative [src]
   1    
--------
x*log(8)
$$\frac{1}{x \log{\left(8 \right)}}$$
The second derivative [src]
   -1    
---------
 2       
x *log(8)
$$- \frac{1}{x^{2} \log{\left(8 \right)}}$$
The third derivative [src]
    2    
---------
 3       
x *log(8)
$$\frac{2}{x^{3} \log{\left(8 \right)}}$$