Consider the function g defined by 1 g(x, y) = cos (TaV) + log3 (r-y) Do as indicated. 1. Determine dydx 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2). 3. In what direction does g have the maximum directional derivative at (x, y) = (4,1)? What is the maximum directional derivative?

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

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: d. y= x² + y x + cos y

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: The maximum rate of change of a function f(x,y)�(�,�,�) occurs in the direction of the gradient…

Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y)…

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Q: Q3 Find the directional derivative of f(x,y,z)=xy+yz+zx at the point (1,-1,2) in the direction of A…

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