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Let f(x,y) = 3x^2 + 6xy a) find the rate of change of f at the...

Let f(x,y) = 3x^2 + 6xy
a) find the rate of change of f at the point P(3,2) in the direction of u = [3,4]
b) In what direction does f have the maximum rate of change? what is the maximum rate of change?

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