A related rates problem is the determination of the rate at which a function defined in terms of other functions changes.
Related rates problems can be solved by computing derivatives for appropriate combinations of functions using rules such as the chain rule
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(1)
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(for 
and 
),product rule
![d/(dx)[f(x)g(x)]=f(x)(dg)/(dx)+g(x)(df)/(dx),](/images/equations/RelatedRatesProblem/NumberedEquation2.svg) |
(2)
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![d/(dx)[(f(x))/(g(x))]=(g(x)(df)/(dx)-f(x)(dg)/(dx))/([g(x)]^2),](/images/equations/RelatedRatesProblem/NumberedEquation3.svg) |
(3)
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![d/(dx)[f(x)+g(x)]=(df)/(dx)+(dg)/(dx),](/images/equations/RelatedRatesProblem/NumberedEquation4.svg) |
(4)
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or power rule
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(5)
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