flx.y)=X P=(-3,;4h V=2-23 A. Find the gradient of f. Vf = 1/y i+ -x/y^2 Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) -1/4 i+ 3/16 Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Duf = (-7sqrt2)/32 Note: Your answer should be a number D. Find the maximum rate of change of f at P. 5/16 Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. i+ Note: Your answers should be numbers

flx.y)=X P=(-3,;4h V=2-23 A. Find the gradient of f. Vf = 1/y i+ -x/y^2 Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) -1/4 i+ 3/16 Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Duf = (-7sqrt2)/32 Note: Your answer should be a number D. Find the maximum rate of change of f at P. 5/16 Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. i+ Note: Your answers should be numbers

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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