1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1). 2. Find the directional derivative of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1) in the direction of the vector < 1, -3,1 >.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Part c: (
1. Find the gradient of the function
f(x, y, z) =
(1, 1,-1).
2. Find the directional derivative of the
function f(x, y, z) = ln(xy) - zx² at the
point (1, 1,-1) in the direction of the vector
< 1, -3, 1 >.
In(xy) - zx² at the point
Transcribed Image Text:Part c: ( 1. Find the gradient of the function f(x, y, z) = (1, 1,-1). 2. Find the directional derivative of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1) in the direction of the vector < 1, -3, 1 >. In(xy) - zx² at the point
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