Compute the directional derivative of f(x, y, z) = y²e*y% at the point (0, 1, -1) in the direction of the upward normal of the plane 3x +4y+5z = 9. Indicate the direction of maximum increase in fat the point and its maximum rate of change.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Compute the directional derivative of f(x, y, z) = y²e*y% at the point (0, 1, -1) in the
direction of the upward normal of the plane 3x +4y+5z = 9. Indicate the direction of
maximum increase in fat the point and its maximum rate of change.
Transcribed Image Text:Compute the directional derivative of f(x, y, z) = y²e*y% at the point (0, 1, -1) in the direction of the upward normal of the plane 3x +4y+5z = 9. Indicate the direction of maximum increase in fat the point and its maximum rate of change.
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