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Multivariable & Vectorhard
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Let f(x,y)=x3y2+exy−sin⁡(x+y)f(x,y) = x^3 y^2 + e^{xy} - \sin(x+y)f(x,y)=x3y2+exy−sin(x+y). Find ∂2f∂x∂y\frac{\partial^2 f}{\partial x \partial y}∂x∂y∂2f​ at the point (0,0)(0,0)(0,0).