Question: The multivariable function f is defined by f(x,y)= x3y-x2y2, where x and y are real variables. 1.Calculate the gradient of f at (a,b). Show your

The multivariable functionfis defined by f(x,y)= x3y-x2y2, wherexandyare real variables.

1.Calculate the gradient of f at (a,b). Show your work.

2.Calculate the unit vector in which f increases most rapidly at (a,b). Show your work.

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