Mister Exam

Derivative of -log(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
-log(x)
log(x)- \log{\left(x \right)}
-log(x)
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: 1x- \frac{1}{x}


The answer is:

1x- \frac{1}{x}

The graph
02468-8-6-4-2-1010-2020
The first derivative [src]
-1 
---
 x 
1x- \frac{1}{x}
The second derivative [src]
1 
--
 2
x 
1x2\frac{1}{x^{2}}
The third derivative [src]
-2 
---
  3
 x 
2x3- \frac{2}{x^{3}}
The graph
Derivative of -log(x)