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
Ye Ey Ee s fFindÉwheny andOCXC
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
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
Ye Ey Ee s fFindÉwheny andOCXC
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
