Worked examples

Implicit functions

One sheet for each type of problem, with several worked examples of increasing difficulty: first the computation, then the explanation in words. Each sheet starts with links to the theory it uses.

• 1First derivatives of implicit functions
• 2Tangent lines to implicitly defined curves
• 3Second derivatives and local study of the implicit function
• 4Singular points and applicability of Dini's theorem
• 5Level surfaces and tangent planes