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anonymous
 5 years ago
Use the Chain Rule to find dw/dt. (Enter your answer only in terms of t.)
w = xe^(y /z), x = t^6, y = 9  t, z = 4 + 4t
anonymous
 5 years ago
Use the Chain Rule to find dw/dt. (Enter your answer only in terms of t.) w = xe^(y /z), x = t^6, y = 9  t, z = 4 + 4t

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Take the partial derivatives for each variable and add them. \[w = w (x, y, z)\] \[dw/dt = (\delta w/\delta x) + (\delta w/\delta y) + (\delta w/\delta z)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Actually, that is wrong. What I meant was: \[(dw/dt) = (\delta w/\delta x)(dx/dt) + (\delta w/\delta y)(dy/dt) + (\delta w/\delta z)(dz/dt)\]
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