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March 15th, 2009, 06:57 PM   #1
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Multi variable chain rule

Given q = f(r,s)
r(t) = 3 + 2t
s(t) = 2 - 6t
What is q '(0)

Any help would be nice.
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March 16th, 2009, 01:15 PM   #2
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Re: Multi variable chain rule

The Multivariable Chain Rule states:



This formula holds because the value of is impacted by the changes in both and as we increase . In our case,

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March 16th, 2009, 07:50 PM   #3
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Re: Multi variable chain rule

So with information given we cannot find q '(0) because we don't know the partial derivatives?
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March 17th, 2009, 05:14 AM   #4
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Re: Multi variable chain rule

They might want you to include and in the formula.
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March 17th, 2009, 10:24 AM   #5
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Re: Multi variable chain rule

Alright thanks for the help.
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