Derivative of -lnx

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-log(x)

$$- \log{\left(x \right)}$$

-log(x)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
So, the result is: $- \frac{1}{x}$

The answer is:

$- \frac{1}{x}$

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