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๐Ÿ“˜ Applications of Differentiation

Putting derivatives to work: how fast is one thing changing given another, finding the highs and lows of a function, sketching curves, and solving optimization problems.

Topics

๐Ÿ“‹ Introduction (Pretest)

Diagnostic: see what you remember and what needs work.

Coming when we start

โฑ๏ธ Related Rates

How fast is one quantity changing given how fast another is changing?

Coming when we start

๐Ÿ” Absolute Extrema

Highest and lowest values on a closed interval.

Coming when we start

๐Ÿ“ Relative Extrema

Local maxima and minima โ€” the first-derivative test.

Coming when we start

๐ŸŽจ Curve Sketching

Use derivatives to draw a complete picture of a function's behavior.

Coming when we start

๐ŸŽฏ Optimization

Maximize or minimize subject to a constraint.

Coming when we start

โœ… Conclusion (Posttest)

End-of-module assessment.

Coming when we start
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