March 22
section covered in text:
2.10. What does f' Say about f?
objective:
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to be able to sketch f(x) from f'(x)
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to understand what is meant by f''(x)
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to understand what is meant by an antiderivative
key ideas and/or vocabulary
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f'(x) > 0 on an interval, f'(x) < 0 on an interval
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f''(x) > 0 on an interval, f''x) < 0 on an interval
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local maximum and minimum
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concave up and down, inflection points
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antiderivatives
solved problems - using key ideas
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sketching f(x) from f'(x), #1
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studying the graph of a position and understanding
velocity, acceleration, #8.
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concavity, inflection point from a verbal account,
#10
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sketching f(x) from f'(x), #12
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sketching graph with given conditions, #16.
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identifying antiderivative of graph of f(x), #22
group work
none
announcements
Homework. #2,4,6,18,24
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QUESTION OF THE DAY
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The temperature, T, in degrees Fahrenheit,
of a cold yam placed in a hot oven is given by T = f(t), where t is the
time in minutes since the yam was put into the oven.
a. What is the sign of f'(t)? Why?
b. What are the units of f'(10)?
What is the practical meanin of f'(10) = 3.4?
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SOLUTION
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SOLUTION.
a. The change in degrees Fahrenheit at t minutes
after the yam was placed in the oven.
b. degrees Fahrenheit/minute
The yam is rising in temperature by 3.4o
after it has been in the oven 10 minutes.
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