Implicit Function Theorem/Examples/Unit Circle

Example of Implicit Function Theorem

Consider the Equation of Unit Circle for the unit circle:

$x^2 + y^2 = 1$

This is the graph of a function near all points where $y = 0$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): implicit function theorem
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): implicit function theorem