(a) Show that a differentiable function / decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of -V(x). Let be the angle between Vf(x) and unit vector u. Then Duf = |VA|---Select---✔ direction of u is-Select-- the direction of Vf (assuming Vf is not zero). (b) Use the result of part (a) to find the direction in which the function f(x, y) = xy - x2y3 decreases fastest at the point (1, -1). Since the minimum value of ---Select--- is occurring, for 0 ≤0 < 2m, when = , the minimum value of Duf is-IV, occurring when the

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A: Topic = Functions

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