Unit 5 : Applications Of Derivatives
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Last updated 11:09 PM on 4/24/24
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8 Terms
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Mean Value Theorem
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Extreme Value Theorem
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Extreme Values
The minimum and maximum of a function on an interval.
Can occur at end points or interior points
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Relative Extrema
Local Max and Local Min, can’t be end points
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How do you find a critical point?
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Candidates Test
Critical Points and End Points, Used for finding Max And Min
When f prime = 0
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Point Of Inflection
f’’ changes sign at x=c and where f changes concavity
Where f’’ = 0 or f’’ does not exist
COMMON MISTAKES
Assuming that f’’ = 0 means there is a POI check if it changes sign
Assuming that f’’ ≠ 0 means there is no POI , f(c) has to be defined so if its f’’ doesn't exist it has to spit out a value for f(c)
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