Solution) Let f(x,y)=x^2y+3y^2-2xy^3+x-5, (a) Calculate (∂ f)/(∂ x) and (∂ f)/(∂ y). (b) C


Question: Let \(f\left( x,y \right)={{x}^{2}}y+3{{y}^{2}}-2x{{y}^{3}}+x-5\),

(a) Calculate \(\frac{\partial f}{\partial x}\) and \(\frac{\partial f}{\partial y}\).

(b) Calculate the equation of the tangent plane to \(z=z=f\left( x,y \right)\) at the point (2, 1, 0).

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