Question: Find the directions in which increases and decreases most rapidly at P 0 and find the derivative of in each direction. Also, find

Find the directions in which ƒ increases and decreases most rapidly at P₀ and find the derivative of ƒ in each direction. Also, find the derivative of ƒ at P₀ in the direction of the vector v.

ƒ(x, y, z) = x² + 3xy - z² + 2y + z + 4, P₀(0, 0, 0), v = i + j + k

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