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Asked by Shawn

Verify Clairaut's theorem for u=ln(x^(2)-y^(2)).
11 years ago

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Answered by Steve
∂u/∂x = 2x/(x^2-y^2)
∂u/∂y = -2y/(x^2-y^2)

∂<sup>2</sup>u/∂x∂y = ∂<sup>2</sup>u/∂y∂x = -2(x^2+y^2)/(x^2-y^2)^2
11 years ago
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