# Calculus II

## Day10-Lecture 19

9 March 2017, Thursday 08:40

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# The Second Derivative Test

We give the proof of Taylor's theorem as promised at the end of the last class.

This completes the proof.

We apply Taylor's theorem to $F(t)$.

We examine the implications on $f(x,y)$.

We observe some consecuences pointing to min/max properties of $f(x,y)$.

If you are interested you can find a different presentation of these arguments in number theory books. The key term to search for is "binary forms".

For questions

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