Consider the function g defined by 1 g(x, y) = sin (7/æy) + log3(æ – 3y)' Do as indicated. 1. Determine 2. Calculate the instantaneous rate of change of g at the point (4, 1,0) 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)? %3D What is the minimum directional derivative?

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A: The given function is: f(x,y)=xy-y2 Given point is: P = (1, 2) Direction vector is: v=3, 4

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A: please comment if you need any clarification. If you find my answer useful please put thumbs…

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