Use the Chain Rule to find the indicated partial derivatives. u =    r2 + s2,    r = y + x cos(t),    s = x + y sin(t) ∂u ∂x,   ∂u ∂y,   ∂u ∂t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Use the Chain Rule to find the indicated partial derivatives.

u = 
  r2 + s2
,    r = y + x cos(t),    s = x + y sin(t)

∂u
∂x
,  
∂u
∂y
,  
∂u
∂t
    when x = 3,  y = 5,  t = 0
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