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Ejercicios resueltos de Cálculo - Universidad de Málaga

Ejercicios resueltos de Cálculo - Universidad de Málaga

Ejercicios resueltos de Cálculo - Universidad de Málaga

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Optimización no-lineal 272<br />

Problema 140 Hallar ∂w/∂u si w = x 2 + y 2 ,x = u − v,y = ve 2u . (Dar la respuesta en x e y.)<br />

Sea f(s,t) = s 2 + t 2 ; entonces w = f ◦ (x,y) y<br />

∂w<br />

∂u<br />

<strong>Ejercicios</strong> <strong>resueltos</strong> <strong>de</strong> <strong>Cálculo</strong>. c○Agustín Valver<strong>de</strong><br />

∂f ∂x ∂f ∂y<br />

= +<br />

∂s ∂u ∂t ∂u = 2x + 4yve2u = 2x + 4y 2

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