Find the directions in which increases and decreases most rapidly at P 0 and find the

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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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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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