C only.find the coordinates of the point (x,y)with a horizontal tangent lune productConsider the curve x²y + y²x = 6A) Finddydxin terms of x and yproduct2² + 2y = 4 x + y ₂² (₁) = 0dy dyFree Response|2xy + y²x² + 2y y'x+ ¹ y ² = 0dydx (2,1)2xy+-2xy + y ² +_dy (x² + 2xy) = 02dxdy:- (2xy + y ²)dx2+ 2xyB) Write the equation for the tangent line where x = 2 and y = 1. (2,1)- (2(2)(1) + 1²)2²+2.2.116 Flamingo MathTM (Jean Adams)58.y=-y = - 12/2² (x-2) + 14+4+4Xx² + 2xy- 동C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line.0 = = (2xy + y ²)slopeper.10 = - 2xy-y²0= y(-2x - y)

I am attaching image so that you understand each and every step.

dy - (2xy + y ²) 2+ dx B) Write the equation for the tangent line where x = 2 and y = 1. (2,1) 16 FL dy dx (2,1) H -(2(2)(1) + 1² 22 +2.2.1 Mach THCK y = - =//(x-2) + 1 (4+1) 4+4 11 C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line. slope 0 = (аху ту + y²) x² + 2xy 2x C 0 = - 2xy - Y 0=Y (-2x-y) 2

dy - (2xy + y ²) 2+ dx B) Write the equation for the tangent line where x = 2 and y = 1. (2,1) 16 FL dy dx (2,1) H -(2(2)(1) + 1² 22 +2.2.1 Mach THCK y = - =//(x-2) + 1 (4+1) 4+4 11 C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line. slope 0 = (аху ту + y²) x² + 2xy 2x C 0 = - 2xy - Y 0=Y (-2x-y) 2

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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