April 7
section covered in text:
3.2. The Product and Quotient Rules
objective:
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to be able to differentiate products and quotients
of functions
key ideas and/or vocabulary
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product rule
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quotient rule
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reciprocal rule
solved problems - using key ideas
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finding the derivative in two different ways, #1
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practice with finding derivatives, #3,5-11,13-18
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reciprocal rule, #40
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power rule for negative exponents, #41
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using product and reciprocal rules to derive quotient
rule, #42
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tangent line, #19
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comparing f(x) and f'(x), #22
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Leibniz notation, #28
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application, #31
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derivative of the product of three functions, #37
group work
Back and Forth work sheet
announcements
Homework. #2,4,12,20,26,32
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QUESTION OF THE DAY
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Let g(t) be the height, in inches, of
Amelia Earhart t years after her birth. What are the units of g'(t)?
What can you say about the signs of g'(10) and g'(30)?
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SOLUTION
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SOLUTION.
The units of g'(t) are inches/year.
The signs of the derivatives are positive;
the values of the derivatives are decreasing.
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