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The derivative of the function/ log8(x)

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)
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 log⁡(x)\log{\left(x \right)} is 1x\frac{1}{x}.

    So, the result is: 1xlog⁡(8)\frac{1}{x \log{\left(8 \right)}}

The answer is:

1xlog⁡(8)\frac{1}{x \log{\left(8 \right)}}

The graph
02468-8-6-4-2-1010-1010
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   1    
--------
x*log(8)
1xlog⁡(8)\frac{1}{x \log{\left(8 \right)}}
Simplify
The second derivative [src] 
   -1    
---------
 2       
x *log(8)
−1x2log⁡(8)- \frac{1}{x^{2} \log{\left(8 \right)}}
Simplify
The third derivative [src] 
    2    
---------
 3       
x *log(8)
2x3log⁡(8)\frac{2}{x^{3} \log{\left(8 \right)}}
Simplify
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