Find the directions in which increases and decreases most rapidly at P 0 and find the derivative of in each direction Also, find the derivative of at P 0 in the direction of the vector v (x, y, z) x 2 3xy z 2 2y z 4, P 0 (0, 0, 0), v i j k ...

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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Question Posted: May 08, 2023 06:35 AM

Find the directions in which increases and decreases most rapidly at P 0 and find the derivative of in each direction. Also, find the derivative of at P 0 in the direction of the vector v. (x, y)...
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Find the directions in which increases and decreases most rapidly at P 0 and find the

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Thomas Calculus Early Transcendentals

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