ow that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of -f(x). tf be a differentiable function and be the angle between Vf(x) and unit vector u. Then D f = |vf|cos(6) nimum value of Dfis -Vf), occurring when the direction of u is the opposite of the direction of Vf (assuming Vf is not zero). e the result of part (a) to find the direction in which the function f(x, y) = x³y-x²y³ decreases fastest at the point (2, -4). X hat is the rate of decrease? x . Since the minimum value of cos(6) ✓✓ is -1 ✔ occurring for 0 s < 2, when = , the

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