Find the directional derivative of the function at the given point in the direction of the vector v.g(r, s) = tan−1(rs), (1, 3), v = 5i + 10j Find the directional derivative of the function at the given point in the direction of the vector v.g(r, s) = tan-1(rs),(1, 3), v = 5i + 10jDug(1, 3) =

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Find the directional derivative of the function at the given point in the direction of the vector v. g(r, s) = tan-¹(rs), (1, 3), v= 5i + 10j Dug(1, 3) =

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Question

Find the directional derivative of the function at the given point in the direction of the vector v.

g(r, s) = tan⁻¹(rs), (1, 3), v = 5i + 10j

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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