EDB — 2D4

16.4 Implicit function theorem [2D4]

We will use the Implicit Function Theorem, in the multivariable version (Theorem 7.7.4 in [ 3 ] ). We recall it here for convenience, with some small changes in notations.

Exercises

1. [1GF]↺↻

2. [1GJ]↺↻

3. [1GP]↺↻

4. [1GQ]↺↻

5. [1GS]↺↻

6. [1GW]↺↻

Extensions

Now let’s see some variations of the ”standard” theorem.

Exercises

1. [1GX]↺↻

2. [1GZ]↺↻

3. [1H1]↺↻

4. [1H3]↺↻