MTH 101 Study Guide - Final Guide: Unit Vector, Directional Derivative, Tangent Space
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Spring 2021: let f (x, y) = 2xy 3y2. Evaluate its directional derivative at the point (1, 2) in the direction of the unit vector u = 3. 5 j in two di erent ways: (a) using the de nition of directional derivative. (b) using the gradient formula for directional derivative: let f (x, y) be a di erentiable function whose graph looks like this: Find an equation of the tangent plane to this surface at x0: let f (x, y) be a di erentiable function on r2, and consider its tangent plane at a point (a, b, f (a, b)). We can view this tangent plane as the graph of some function g(x, y).
