partial derivatives - 2 2 8 x x x y f = ∂ ∂ = 2 2 2 2 2...

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PARTIAL DERIVATIVES if  y = f(x 1 , x 2 , x 3 ,…x n        where x 1 , x 2 , x 3 ,…x n  are all independent  (i.e   each can  exists without affecting the others TECHNIQUE: Additive constant , it will be dropped Multiplicative constant , treat the other variable as  coefficient 1. = y 2 2 2 1 2 1 4 3 x x x x + + 2 1 1 1 6 x x x y f + = =                 
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Unformatted text preview: 2 2 8 x x x y f + = ∂ ∂ = 2. 2 2 2 2 1 3 1 3 11 2 x x x x y +-= 2 1 2 1 1 22 6 x x x x y-= ∂ ∂ 2 1 2 6 22 x x x y +-= ∂ ∂ 3. 2 2 2 2 1 1 9 5 7 x x x x y-+ = 2 2 1 5 7 x x y + = ∂ ∂ 2 2 1 2 18 10 x x x x y-= ∂ ∂...
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