Let [math]f(x ,y)= x^2 arctan left(frac{y}{x}right) – y^2arctanleft(frac{x}{y}right).[/math] How do I show that [math]frac{partial^2 f}{ partial x partial y}=frac{x^2 -y^2}{x^2 + y^2}?[/math]
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Let [math]f(x ,y)= x^2 arctan left(frac{y}{x}right) – y^2arctanleft(frac{x}{y}right).[/math] How do I show that [math]frac{partial^2 f}{ partial x partial y}=frac{x^2 -y^2}{x^2 + y^2}?[/math]
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