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The term "differentiation" also includes the operation of finding differentials.
In finding differentials the easiest way is to find the derivative as usual, and then multiply the result by dx.
Illustrative Example 1. Find the differential of
Solution. , Ans.
Illustrative Example 2. Find dy from
Solution. . ∴ . Ans.
Illustrative Example 3. Find dy from
Solution. . ∴ .
Illustrative Example 4. Find .
- Solution. . Ans.