April 28
section covered in text:
Section 4.3. Derivatives and the Shapes
of Curves
objective:
-
to be able to use derivative tests to study important
characteristics of functions
key ideas and/or vocabulary
-
mean value theorem
-
increasing/decreasing test
-
first derivative test
-
concavity, inflection point
-
concavity test
-
second derivative test
solved problems - using key ideas
-
mean value theorem, #1
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increasing/decreasing test, #13.a
-
local maximum and minimum values, using the first derivative test,
#13.b
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concavity and inflection point, using the concavity test, #13.c
-
vertical and horizontal asymptotes, #21
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intervals of concavity and inflection points, #28
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estimating greatest value of f'(x), #30
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generalizing the derivatives of sums and products of functions, # 37,39
-
using the mean value theorem to bound values of functions, #43
group work
none
announcements
Homework. #2,6,10,20,24,44
SOLUTION.
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