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Week 8 : Derivatives and the Shapes of Graphs, Indeterminate Forms, Optimization Problems

By the end of this week you should be able to :

• find intervals of increase/decrease of a function using the first derivative
• find local minimum and maximum points using the first derivative
• find intervals of concavity and inflection points of a function
Topic Est. video completion time. Textbook practice problems
1 What does $$f'$$ tell me about $$f$$ ? 20 min See topic # 2
2 What does $$f''$$ tell me about $$f$$ ? 15 min Section 4.3: 1 - 7, 9 - 21 (odd), 25, 31 - 53 (odd).
1. What does $$f'$$ tell me about $$f$$ ?

By the end of this lesson you should be able to :

• learning outcomes here

Once you have viewed the video complete the following problems from the textbook,

Notes:

2. What does $$f''$$ tell me about $$f$$?

By the end of this lesson you should be able to :

• learning outcomes here

Once you have viewed the first 2 videos, complete the following problems from the textbook section 4.3: 1 - 7, 9 - 21 (odd), 25, 31 - 53 (odd).

Notes: