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I am confused from what I know the max. value of directional derivative at a point is the length of the gradient vector ∇f or grad. f?

Why does the answer in my book of a question say that

Max. val of Duf = (√3145)/5

when ∇f = (56/5) i- (3/5) j

???

Thanks

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# Maximum value of directional derivative (Duf)?

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