At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a derivative of 8 in the direction toward (1, 6). a) Find fx(1, −1) and fy(1, −1), b) Find the derivative of f at (1, −1) in the direction toward the point (−2, 4).
At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a derivative of 8 in the direction toward (1, 6). a) Find fx(1, −1) and fy(1, −1), b) Find the derivative of f at (1, −1) in the direction toward the point (−2, 4).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a derivative
of 8 in the direction toward (1, 6).
a) Find fx(1, −1) and fy(1, −1),
b) Find the derivative of f at (1, −1) in the direction toward the point (−2, 4).
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