please solve with working out shown Let f(x, y) = sin(x + y)(a) Calculate the directional derivative of f at the point (1,-1) inthe direction (1,2).(b) Find the equation of the tangent plane to the graph of f at thepoint (1,-1,0).

Answered: Image /qna-images/answer/9d427fb9-8068-4ec1-a76f-d591c2bff215.jpg

Answered: Let f(x, y) = x sin(x + y) (a)…

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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Let f(x, y) = x sin(x + y) (a) Calculate the directional derivative of f at the point (1,-1) in the direction (1,2). (b) Find the equation of the tangent plane to the graph of f at the point (1,-1,0).