Answer to Question #344284 in Calculus for Sexyeyes

Question #344284

let f be the R^2-R function defined by f(x,y) = (x - y)^3

a) Determine the rate of increase in f at the point (2,1) in the direction of the vector (1,-1)?

b) What is the rate of increase in f at (2,1) in the direction of the negative X-axis?

c)Determine the maximum rate of increase in f at (2,1).In which direction is the maximum rate of increase?


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