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Applying Derivatives

Derivatives are powerful tools for solving problems.

4A

Understanding Tangent Lines

  • Find the equation of a tangent line
  • Use a tangent line to approximate a function. (Linearization)
  • Use a tangent line to approximate the zeroes of a function. (Newton's method) *
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4B

Understanding the Mean Value Theorem

  • Explain the meaning of the MVT
  • Find values guaranteed by the MVT
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4C

Understanding Extrema

  • Use a variety of techniques to find extrema
  • Use a variety of techniques to justify the extrema
  • Optimize a scenario
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4D

Understanding Related Rates

  • Find equations relating rates of change
  • Find unknown rates of change in a scenario
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4E*

Understanding L'Hôpital's Rule

  • Identify indeterminate forms
  • Use algebra to rewrite indeterminate forms in the 0/0 form
  • Evaluate limits with l'Hôpital's rule
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