Abstract
This chapter introduces the concept of differentiability of functions and maps, the properties and rules using the limit operator, the Implicit function theorem, the Inverse function theorem, and L’Hospital’s rule.
Keywords: Continuity and differentiability of functions and maps, Derivative of a reciprocal theorem, Differentiation of a function, Differentiation of a map, Functions, Type , Implicit function theorem, Inverse function theorem, L’Hospital’s rule, Maps, Mean value theorem, Notation for differentiation, Properties of differentiation of functions and maps, Rules of differentiation of functions and maps.
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