If în is a unit vector, then în · Vf is called the directional derivative of f in the direction n. Find the directional derivative of f (x,y) = x²yz in the direction 4 î- 3 k at a point (1, -1,1).

If în is a unit vector, then în · Vf is called the directional derivative of f in the direction n. Find the directional derivative of f (x,y) = x²yz in the direction 4 î- 3 k at a point (1, -1,1).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 48E

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Question

16. If n is a unit vector, then în · Vf is called the directional derivative of f in the
direction n.
Find the directional derivative of ƒ (x,y) = x²yz in the direction 4 î - 3 k at a
point (1,-1, 1).

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