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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

A differentiable function f(x,y)f(x,y) has fx(x,y)≡2f_x(x,y) \equiv 2 and fy(x,y)≡3f_y(x,y) \equiv 3 at EVERY point (so ff is necessarily of the form f=2x+3y+Cf=2x+3y+C for some constant CC). Given f(1,1)=10f(1,1)=10, find f(4,−2)f(4,-2).