April 5
section covered in text:
3.1. Derivatives of Polynomials and
Exponential Functions (conclusion)
objective:
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to understand how derivatives of some basic functions
were derived
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to understand how the definition of e was
derived
key ideas and/or vocabulary
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derivatives of a constant function, the power rule,
constant multiple rule
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sum and difference rules
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derivative of ex
solved problems - using key ideas
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students at board, #3-15 odd, 17-20
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using the calculator to compare f(x) and f'(x), #24
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equation of tangent line, #32
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exponential function and its derivatives, #1
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first and second derivatives, #34
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velocity, #38
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modeling population growth, #39
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where is the function increasing? concave up?,
#42
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finding tangent lines from a point outside of the
curve, #47
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normal line, #49
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nth derivative of a function, #52
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limits, #59
group work
none
announcements
Homework. #2,16,22,32,40,54
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QUESTION OF THE DAY
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Are the functions f(x) = 1/x, g(x) = sin(x2),
h(x) = ex even, odd or neither?
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SOLUTION
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SOLUTION.
f(x) is odd since f(-x) = -x.
g(x) is even since g(-x) = g(x).
h(x) is neither even or odd.
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