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How do you solve related rates problems?
Identify the rates, relationship, and moment
Differentiate relationship wrt time (implicitly)
Plug in knowns to solve for unknown rate
How do you solve optimization problems?
Find primary and secondary equations
Primary equation: equation to minimize/maximize
Secondary equation: relationship btw variables
Use secondary equation to write primary equation in terms of one variable
Differentiate and find critical points
Do candidacy test (if multiple critical points)
Ensure that the points you find answer the question
What is the volume of a prism?
What is the volume of a cylinder?
What is the volume of a cone?
What is the volume of a sphere?
What are absolute extrema?
The highest and lowest points of a graph on an interval
How do you find absolute extrema?
Differentiate the function
Find where f’(x)=0 or undefined on the interval
Make a candidacy chart (shown below)
Points with highest magnitude are absolute minima/maxima
Note 
Flashcard (32)