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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Question

Use the theorem
Theorem: Directional Derivative
If f is a differentiable function of x and y, then the directional derivative of f in the direction of the unit vector
u = cos(0)i + sin(0)j is
Dyf(x, y) = f,(x, y) cos(0) + f,(x, y) sin(0).
to find the directional derivative of the function at P in the direction of v.
f(x, y) = x²y, P(-9, 9), v = 3i – 4j

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