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ln
The derivative of the function/ ln

Derivative of ln

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
log(x)
$$\log{\left(x \right)}$$ 
log(x)
Detail solution

  1. The derivative of is .

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
1
-
x
$$\frac{1}{x}$$
Simplify
The second derivative [src] 
-1 
---
  2
 x
$$- \frac{1}{x^{2}}$$
Simplify
The third derivative [src] 
2 
--
 3
x
$$\frac{2}{x^{3}}$$
Simplify
The graph
Derivative of ln
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