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for x=5Q/(3+Z)

Show that cross partial derivatives are equall

2007-10-05 19:52:17 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

∂x / ∂Q = 5 / (3 + Z)
So ∂(∂x / ∂Q) / ∂Z= -5 / (3 + Z)²

and
∂x / ∂Z = - 5Q / (3 + Z)²
so ∂(∂x / ∂Z) / ∂Q = -5 / (3 + Z)²

∂²x / ∂Z∂Q - ∂²x / ∂Q∂Z= - 5 / (3 + Z)²+5 / (3 + Z)²=0

2007-10-05 21:04:13 · answer #1 · answered by Anonymous · 2 1

∂x / ∂Q = 5 / (3 + Z)
∂x / ∂Z = - 5Q / (3 + Z)²
Not sure what you mean by CROSS partial derivative.

2007-10-06 03:52:19 · answer #2 · answered by Como 7 · 1 2

trying to get others to do your homework is just shameful. SHAMEFUL!!

2007-10-06 02:56:41 · answer #3 · answered by grover556 1 · 0 4

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