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Find the maximum rate of change of f at the given point and the direction in which it occurs. f ( p , q )

Find the maximum rate of change offat the given point and the direction in which it occurs.

f(p,q) =5qe^p+5pe^q,(0, 0)

maximum rate of change=?

I got the direction vector which is <5,5> but I cannot seem to find the maximum rate of change. I keep on getting sqrt 5 but it is wrong.

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