f(x, y) = 3eª cos y, (a, b) = (0,7), and v = (3, 3). a. Calculate the directional derivative of f at the point (a, b) in the direction defined by v 团 b. Find the direction at (a, b) in which the rate of change of f is greatest. c. Find the maximum rate of change. d. Fill in the blank: f decreases the most at (a, b) in the direction of

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A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

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Q: cos y, (a, b) = (0,7), and v= (1,3). a. Calculate the directional derivative of at the point (a, b)…

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