MATH 210 Study Guide - Final Guide: Directional Derivative, Unit Vector, Talking Lifestyle 1278
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Problem 1 solution: let f (x, y) = xexy2, find the directional derivative of f at the point p = (0, 2) in the direction of the vector. Solution: the value of the directional derivative of f at p = (0, 2) in the direction v is: D uf (0, 2) = f (0, 2) v where u is a unit vector in the direction of v . , 2x2yexy2e and its value at the point p = (0, 2) is: D uf (0, 2) = f (0, 2) v. 5: the direction in which f increases fastest at p = (0, 2) is the direction of steepest ascent: Problem 2 solution: find the maximum and minimum value of f (x, y) = 2x2 + y2 on the circle x2 + y2 = 9. Solution: we nd the minimum and maximum using the method of lagrange mul- tipliers.
