MathAnalysisCalculusMultivariable calculus

Partial derivatives

To the top of the mountain

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You find yourself at point (x,y,z)=(0,0,1)(x,y,z) = (0,0,1) on a mountain with a shape such that the terrain can be described by the function z=x2y2+2y+1z = -x^2 - y^2 + 2y + 1; where x,yx, y are coordinates analogous to latitude and longitude, respectively, and zz is the elevation of the terrain. If we say that the positive part of the xx axis corresponds to the EE (East) in a compass, the negative part to WW(west), and the positive part of the yy axis corresponds to NN(North), while the negative part corresponds to SS (South), in which direction you should move in order to reach the peak?

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