Solution: Let f(x,y)=x^2y+3y^2-2xy^3+x-5, Calculate (∂ f)/(∂ x) and (∂ f)/(∂ y). Calculate the equation of the tangent plane to z=z=f(x,y)
Question: Let \(f\left( x,y \right)={{x}^{2}}y+3{{y}^{2}}-2x{{y}^{3}}+x-5\),
- Calculate \(\frac{\partial f}{\partial x}\) and \(\frac{\partial f}{\partial y}\).
- Calculate the equation of the tangent plane to \(z=z=f\left( x,y \right)\) at the point (2, 1, 0).
Deliverable: Word Document 
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