Suppose there is a point \( (2,-5,7) \) on the surface \( z=f(x, y) \) of an unknown differentiable function \( f \) where \( f_{x}(2,-5)=0.5 \) and \( f_{y}(2,-5)=-6 \) . Find the equation for the tangent plane to the surface at the given point. \[ z= \]
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5 \), and \( f_y(2, -5) = -6 \). Substituting these values into the equation gives: Show more…
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