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Multivariable & Vectormedium
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Let z=f(x,y)z = f(x, y)z=f(x,y) represent a surface. If the tangent plane at (x0,y0,z0)(x_0, y_0, z_0)(x0​,y0​,z0​) is horizontal, what must be true about the gradient ∇f\nabla f∇f at (x0,y0)(x_0, y_0)(x0​,y0​)?