AP Calculus Review: U4 Contextual Applications of Differentiation
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Course
AP Calculus AB
Institution
Book
Calculus: Early Transcendentals
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This note covers "related rates," "approximating values of a function using local linearity and linearization," "L'Hôpita...
AP Calculus Review: U1 Limits and Continuity
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AP Calculus AB
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Content preview
Introduction to related rates
Related ratesproblems are appliedproblems where we find therateat which one
quantity is changingbyrelating it tootherquantities whoserates are known
Basic Steps Identify Relationship drawdiagram I writeequations
Differentiate implicitly oftenchainrule
Plugwhatyouknow
Solve for rate
as E
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sinktasty I sinacts tcosyou T2 sin yal sin E I
Elinexceptcosyes Ta Xlt sinkcos E
asacts x t sinyet y't o sin E
as att x'a asinyet y
it
asGad x e
y t sinyou s
9144,5
yt
5
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