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ln1/x
The derivative of the function/ ln1/x

Derivative of ln1/x

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

The graph:

from to

Piecewise:

The solution

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

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: 1x\frac{1}{x} goes to −1x2- \frac{1}{x^{2}}

    So, the result is: −log⁡(1)x2- \frac{\log{\left(1 \right)}}{x^{2}}

  2. Now simplify:

    00

The answer is:

00

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] 
-log(1) 
--------
    2   
   x
−log⁡(1)x2- \frac{\log{\left(1 \right)}}{x^{2}}
Simplify
The second derivative [src] 
2*log(1)
--------
    3   
   x
2log⁡(1)x3\frac{2 \log{\left(1 \right)}}{x^{3}}
Simplify
The third derivative [src] 
-6*log(1)
---------
     4   
    x
−6log⁡(1)x4- \frac{6 \log{\left(1 \right)}}{x^{4}}
Simplify
The graph
Derivative of ln1/x
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