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### Section 3-2 : Gradient Vector, Tangent Planes and Normal Lines

1. Find the tangent plane and normal line to $${x^2}y = 4z{{\bf{e}}^{x + y}} - 35$$ at $$\left( {3, - 3,2} \right)$$. Solution
2. Find the tangent plane and normal line to $$\displaystyle \ln \left( {\frac{x}{{2y}}} \right) = {z^2}\left( {x - 2y} \right) + 3z + 3$$ at $$\left( {4,2, - 1} \right)$$. Solution