Analytic Properties of the Intermediate Point in the Taylor Mean Value Theorem

Cheng Xi-wang

Analytic Properties of the Intermediate Point in the Taylor Mean Value Theorem

2009

Cheng Xi-wang

The continuity and derivative of the intermediate point in the Taylor mean value theorem are discussed,and some of their sufficient conditions are presented.At the same time,a formula to calculate derivative of the intermediate point is given.

Keywords:

Intermediate value theorem
Rolle's theorem
Symmetric derivative
Calculus
Taylor's theorem
Mean value theorem (divided differences)
Picard–Lindelöf theorem
Fundamental theorem of calculus
Mean value theorem
Mathematical analysis
Mathematics
Stationary point

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