The concept of differential
For any point : if you have , then
Table of differentials of elementary functions:
An example of finding a differential in mathematics:
The differential is composed of functions
The main property of differential
Differential of a function-the main linear (i.e. proportional ) part of the increment function
The finding of the differential. The geometrical meaning of the differential.
The rules for finding the differential remains the same as that for finding the derivative, you only need to multiply the derivative on DX.
If in formula (when there are and ), then for small . Let us denote Then for small
a) , that is (for small ) ;
b) , that is (for small )
An example of calculating the differentials For numerical calculations we take
Then the formula gives