18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

2. Applications of Differentiation

Part B: Optimization, Related Rates and Newton's Method

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The study of the greatest and least outputs of a function – highest profits, least materials used, closest approach – is called optimization. In addition to optimization, this part of the course also describes how to use derivatives to relate two rates of change and to estimate the values for which a function’s output is zero.

» Session 29: Optimization Problems
» Session 30: Optimization Problems II
» Session 31: Related Rates
» Session 32: Ring on a String > » Session 33: Newton’s Method
» Problem Set 4

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Fall 2010
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