MATH 0180 Midterm: MATH 180 Brown Exam m180s4b
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Problem: let f (x, y) = ex y, p = p (2, 3) and q = q(1, 2). (a) find the directional derivative of f (x, y) at the point p , as one travels to the point. The direction vector qp = 1, 5 ; the unit vector in this direction is. Duf = f |p u = . The greatest rate of change in any direction at p is and this occurs in the direction of f |p the unit vector in this direction is.
