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Title: Approximate calculations using total differential
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Approximate calculations using total differential

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It was found that at small
increments of the arguments,
the total increment of the
function is approximately
equal to its total differential

z  dz
...

From here we get the equality
used in approximate
calculations:

f (x  x; y  y)  f (x; y)  dz
...
Using the concept of total
differential, calculate
approximately
3 , 01

1,02


...


(for comparison: a
calculator with an
accuracy of 7 significant
digits gives
1,061418)

2
...


Answer:

z  dz  0,035
Title: Approximate calculations using total differential
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Approximate calculations using total differential