1/x derivative

## 1/x derivative

Derivative
d/dx(1/x) = -1/x^2
Roots
(no roots exist)
Indefinite integral
integral -1/x^2 dx = 1/x + constant
Limit
lim_(x-> ± infinity) -1/x^2 = 0
Apali marathi

## Apali marathi

Input interpretation
Apali (language) | Marathi (language)
Basic properties
| Apali | Marathi
total number of speakers | 985 people (2005 estimate) | 68 million people (2005 estimate) (1% of world population) (rank: 19th)
number of native speakers | 980 people (2013 estimate) | 72 million people (2013 estimate)
place with most speakers | Papua New Guinea | India
original location | Papua New Guinea | India
language codes | ena | mr | mar
writing scripts | | Devanagari
(1997 to 2016 estimates)
Native speakers per country
| native speakers per country
Apali | Papua New Guinea | 900 people (100%)
Marathi | India | 68.03 million people (100%)
(1997 to 2003 estimates)
Language representation
Marathi
Devanagari | Devanagari extended
Language usage
| Apali | Marathi
Wikipedia size | | 45028 articles (rank: 66th)
Find the area of the region bounded by the graphs of the equations