Historical Note Maria Gaetana Agnesi

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Historical Note Maria Gaetana Agnesi

• 1718-1799 - Milan, Habsburg Empire (now Italy)
• Oldest of 21children (3 mothers)
• Wealthy (and busy) father
• She spoke three languages
• Writer/Debater of philosophy and natural science
• Studied religious books and mathematics
• Admired Newton
• Learned Calculus from a monk - Ramiro Rampinelli
• He encouraged her to write a book on Calculus -
  She is famous for writing that book in 1748

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Increasing and Decreasing Functions (page 290)
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Closed and Open Interval Notation(page 291)

• There is not universal agreement on derivative
  interval notation.
• The theorem below shows this authors preference.
• AP Exam will accept open or closed notation.

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First and Second Derivative Summary Concepts
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5.2 Extrema(page 300-305)
Relative (Local) Maximum or Minimum Values
Absolute (Global) Maximum or Minimum Value
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Critical Numbers(page 302)
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Critical Numbers Summary(page 300)
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Critical Numbers(page 302)
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Critical Numbers and Relative Extrema(page 302)
Relative Extrema occur at critical numbers.
However, not every critical number has a relative
extrema.
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First Derivative Test(page 302)
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Second Derivative Test(page 303)
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Homework Problem 3(page 298)
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Homework Problem 4(page 296)
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Homework Problem 5(page 298)
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Homework Problem 6(page 298)
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Homework Problem 7(page 298)
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Example 5a,5b,5c(page 295)
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Example 2(page 303)
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Example 3(page 303)
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Example 4(page 304)