6. Let f(x,y) = In(x² + y² +1) + e²x".(a) Find the gradient of f at the point (0,–2)(b) Find the directional derivative of f at the point (0,–2) in the direction of (5,–12)(c) Find the maximum value of the directional derivative at the point (0,-2)

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Answered: gra Ốf j at point (b) Find the…

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.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 15E

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gra Ốf j at point (b) Find the directional derivative of f at the point (0,–2) in the direction of (5,-12) (c) Find the maximum value of the directional derivative at the point (0,–2)