Extras
In this chapter material that didn�t fit into other
sections for a variety of reasons. Also, in order to not obscure the mechanics
of actually working problems, most of the proofs of various facts and formulas
are in this chapter as opposed to being in the section with the fact/formula.
This chapter contains those topics.
Proof
of Various Limit Properties :
we prove several of the limit properties and facts that were given in various
sections of the Limits chapter.
Proof of Various Derivative Facts/Formulas/Properties :
this section we give the proof for several of the rules/formulas/properties of
derivatives that we saw in Derivatives Chapter. Included are multiple proofs of
the Power Rule, Product Rule, Quotient Rule and Chain Rule.
Proof of Trig Limits :
we give proofs for the two limits that are needed to find the derivative of the
sine and cosine functions.
Proofs of Derivative Applications Facts/Formulas :
give proofs of many of the facts that we saw in the Applications of Derivatives
chapter.
Proof of Various Integral Facts/Formulas/Properties :
we will give the proofs of some of the facts and formulas from the Integral
Chapter as well as a couple from the Applications of Integrals chapter.
Area and Volume Formulas :
is the derivation of the formulas for finding area between two curves and
finding the volume of a solid of revolution.
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