curve sketching -...
TRANSCRIPT
![Page 1: Curve Sketching - cdsapcalcab2014.weebly.comcdsapcalcab2014.weebly.com/uploads/2/7/1/9/27192853/curve_sket… · Curve Sketching Lesson #5 of Unit 4. Applications of Differentiation](https://reader034.vdocuments.mx/reader034/viewer/2022052306/5f0f150b7e708231d44266b2/html5/thumbnails/1.jpg)
Curve Sketching
Lesson #5 of
Unit 4. Applications of Differentiation
(Textbook 4.5)
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Guidelines for Sketching a Curve
By finding below features of a function, you can create a sketch for it. Not all functions contain all of the below features.
• Domain: Possible x-values
• Intercepts: x-intercepts and y-intercept
• Symmetry: Even function, odd function, and period function
• Asymptotes: Horizontal asymptotes and vertical asymptotes
• Intervals of Increase or Decrease: Critical points and Inc/Dec Test
• Local Max and Min: First Derivative Test and Second Derivative Test
• Concavity and Points of Inflection: Concavity Test
Text p.311
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Example
Sketch the curve .
Text p.313
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Practice
Sketch the curve .
Text p.313
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Practice
Sketch the curve .
Text p.314
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Suggested Problems
Textbook p.317
2, 9, 14, 22, 42, 45
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Suggested Problems - SOLUTIONS -
Textbook p.317
2)
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Suggested Problems - SOLUTIONS -
Textbook p.317
9)
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Suggested Problems - SOLUTIONS -
Textbook p.317
14)
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Suggested Problems - SOLUTIONS -
Textbook p.317
22)
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Suggested Problems - SOLUTIONS -
Textbook p.317
42)
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Suggested Problems - SOLUTIONS -
Textbook p.317
45)