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x^(1/log(x))
The derivative of the function/ x^(1/log(x))

Derivative of x^(1/log(x))

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   1   
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 log(x)
x
x1log⁡(x)x^{\frac{1}{\log{\left(x \right)}}} 
x^(1/log(x))
Detail solution

  1. Don't know the steps in finding this derivative.

    But the derivative is

    (log⁡(1log⁡(x))+1)(1log⁡(x))1log⁡(x)\left(\log{\left(\frac{1}{\log{\left(x \right)}} \right)} + 1\right) \left(\frac{1}{\log{\left(x \right)}}\right)^{\frac{1}{\log{\left(x \right)}}}

The answer is:

(log⁡(1log⁡(x))+1)(1log⁡(x))1log⁡(x)\left(\log{\left(\frac{1}{\log{\left(x \right)}} \right)} + 1\right) \left(\frac{1}{\log{\left(x \right)}}\right)^{\frac{1}{\log{\left(x \right)}}}

The graph
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
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Simplify
The second derivative [src] 
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Simplify
The third derivative [src] 
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Simplify
The graph
Derivative of x^(1/log(x))
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