Homework Help is Here – Start Your Trial Now!
Math
Calculus
1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x² = 6 Find an expressions for dy/dr and dy/d²r when e=y=1. Compute the tangent line to the function at (1,1). bydy +2y + 2xdy + 2x = 0 die dy (by +2x) = -24-2x du dy dx = -2y-22 бутах -4 -I when x=y=1 =-(-1/2 2 6/dy)² + byd³y +zdy + 2dy + 2x. 2xdy (dx) dx² dx dx. + 2 = 0 dze² √zy (by +2x) = -2dy - 2 - 6616) -2 day टयू -2dy d2² dx 12

1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x² = 6 Find an expressions for dy/dr and dy/d²r when e=y=1. Compute the tangent line to the function at (1,1). bydy +2y + 2xdy + 2x = 0 die dy (by +2x) = -24-2x du dy dx = -2y-22 бутах -4 -I when x=y=1 =-(-1/2 2 6/dy)² + byd³y +zdy + 2dy + 2x. 2xdy (dx) dx² dx dx. + 2 = 0 dze² √zy (by +2x) = -2dy - 2 - 6616) -2 day टयू -2dy d2² dx 12

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.1: Relations And Functions
Problem 67PS: The height of a projectile fired vertically into the air neglecting air resistance at an initial...
See similar textbooks
icon
Related questions
Question
100%

can you please explain simply in words how they got the highlighted portion on the image?

1. Suppose that y is defined implicitly as a function of r by the following equation: 3у2 + 2xy + 2 = 6 Find an expressions for dy/d.r and d²y/d².x when & = y = 1. Compute the tangent line to the function at (1,1). bydy dr by due +2y +2xdyne dy +2y +2xdy +2x = 0 dy dx 2 b/dy) 4 (by +2x) = -2y-2x = тву -гу-гх бутах бух (by+2х) dz² dry d'y trdy +2dy +2xdy +2=0 dx² dx dx dze² d2c² 2 – -4. dy du }} 8 =-zdy_2-bdy -zdy dx dx 2-b(dy) =-2-2 bytrx 6 -22 32 - 8 I whe хун 2 - 4 =-4 Wвих чу=1
Transcribed Image Text:1. Suppose that y is defined implicitly as a function of r by the following equation: 3у2 + 2xy + 2 = 6 Find an expressions for dy/d.r and d²y/d².x when & = y = 1. Compute the tangent line to the function at (1,1). bydy dr by due +2y +2xdyne dy +2y +2xdy +2x = 0 dy dx 2 b/dy) 4 (by +2x) = -2y-2x = тву -гу-гх бутах бух (by+2х) dz² dry d'y trdy +2dy +2xdy +2=0 dx² dx dx dze² d2c² 2 – -4. dy du }} 8 =-zdy_2-bdy -zdy dx dx 2-b(dy) =-2-2 bytrx 6 -22 32 - 8 I whe хун 2 - 4 =-4 Wвих чу=1
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS