April 19
section covered in text:
Section 3.7. Derivatives of Logarithmic
Functions
objective:
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to be able to differentiate logarithmic functions
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to be able to use logarithmic differentiation to
find derivatives
key ideas and/or vocabulary
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implicit differentiation
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logarithmic differentiation
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the number e as a limit
solved problems - using key ideas
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practice finding derivatives of logarithmic
functions, #3-5,7-11,13-15
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finding the domain of the derivative of a logarithmic
function, #20
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logarithmic differentiation, #25,27-29,31-33
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logarithmic differentiation (care with exponents),
#36
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finding patterns in nth derivatives, #38
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the number e as a limit
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limits, #39
group work
Practice with derivatives of logarithmic
functions
announcements
Homework. #2,6,12,16,26,30,34,40
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QUESTION OF THE DAY
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Differentiate f(x) = x2lnx.
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SOLUTION
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SOLUTION.
f'(x) = x2(lnx)' + (x2)'
lnx =
x2(1/x) + (2x) lnx =
x + 2x lnx
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