For the following 2 functions, find a unit vector at the specified point for the following...

For the following 2 functions, find a unit vector at the specified point for the following function, allowing the function to increase the fastest in this direction, and find the fastest rate of change.

1) f(x,y) = e^x(siny) , P(0, 3/π)
2) f(x,y,z) = arctan (x+y+z), P(1,1,1)

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