Homework Help is Here – Start Your Trial Now!
Math
Calculus
Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).

Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).

Calculus: Early Transcendentals
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...
See similar textbooks
Question
dr b. Find the slope of the tangent at the point (1,2). c. Find the point where the tangent line is horizontal. d. Find the point where the tangent line is vertical. I. If f(z) = r' and g(z) = r, then f'(x) = 4r³ and g(z) = 3r. The Chain Rule multiplies derivatives to get 12r, But f (g(z)) = () = z12 and its derivative is NOT 127, Where is the flaw? SAINT COLUMBAN COLLEGE Tel No 21 /210 Seots. San Fancsoo Dis, Pagadan Gy ACTIVITY 4: NAME: STRAND/SECTION: DATE: SUPPOSE THAT yIS DIFFERNTIABLE FUNTION OF THE VARIABLE X. FIND DxY or *IMPLICIT DIFFERENTIATION X+2Y 1. X2 = TA X-2Y 2. csc (x - y) + sec(x + y) = x 3. cos (x + y) = ysinx 4. Vi+ Vxy = 4y? 5. = 2 +x 5/5
Transcribed Image Text:dr b. Find the slope of the tangent at the point (1,2). c. Find the point where the tangent line is horizontal. d. Find the point where the tangent line is vertical. I. If f(z) = r' and g(z) = r, then f'(x) = 4r³ and g(z) = 3r. The Chain Rule multiplies derivatives to get 12r, But f (g(z)) = () = z12 and its derivative is NOT 127, Where is the flaw? SAINT COLUMBAN COLLEGE Tel No 21 /210 Seots. San Fancsoo Dis, Pagadan Gy ACTIVITY 4: NAME: STRAND/SECTION: DATE: SUPPOSE THAT yIS DIFFERNTIABLE FUNTION OF THE VARIABLE X. FIND DxY or *IMPLICIT DIFFERENTIATION X+2Y 1. X2 = TA X-2Y 2. csc (x - y) + sec(x + y) = x 3. cos (x + y) = ysinx 4. Vi+ Vxy = 4y? 5. = 2 +x 5/5
3. Find the derivatives of the following functions as specified: d. g(r) = (x² + 1)17, g(2)(x) e. y- (t- Ve)-12, " a. y = sin z, " b. h(2) = (9z + 4)3, h()(2) SAINT COLUMBAN COLLEGE TN 11ea erY Cermes Sagun Seeets, San Fancsco Dis Pagedan c r00/2151800 | Fa No 214120 I Website wwwsopegedph I Emal sepe1s7@gmail.com ACTIVITY 8: NAME: STRAND/SECTION: DATE: I. Find the equation of the tangent line to a? – 3ry + y = -1 at (2,1). Consider ry? +x²y = 6. dy a. Find b. Find the slope of the tangent at the point (1,2). c. Find the point where tangent line horizontal. d. Find the point where the tangent line is vertical. I. If f(x) = r* and g(z) = r°, then f'(x) = 4r² and g'(r) = 3r². The Chain Rule multiplies derivatives to get 12r. But f (g(x)) = (x*)* = z1² and its derivative is NOT 12,, Where is the flaw? SAINT COLUMBAN COLLEGE Comer V. Cerilen - Gagun Sereetn, San Francisco Diatrict, Pagadian Cty Tel Nos: 2151799/2151800 I Fax No 214120 I Webste www.sccpag edu ph E-mai sccpc197@gmail com ACTIVITY 4: NAME: STRAND/SECTION: DATE: SUPPOSE THAT y IS DIFFERNTIABLE FUNTION OF THE VARIABLE X. FIND DXY or *IMPLICIT DIFFERENTIATION 1. X2 = X+2Y X-2Y 4/5 2. Csc (x- у) + sec(x + у)%3D х
Transcribed Image Text:3. Find the derivatives of the following functions as specified: d. g(r) = (x² + 1)17, g(2)(x) e. y- (t- Ve)-12, " a. y = sin z, " b. h(2) = (9z + 4)3, h()(2) SAINT COLUMBAN COLLEGE TN 11ea erY Cermes Sagun Seeets, San Fancsco Dis Pagedan c r00/2151800 | Fa No 214120 I Website wwwsopegedph I Emal sepe1s7@gmail.com ACTIVITY 8: NAME: STRAND/SECTION: DATE: I. Find the equation of the tangent line to a? – 3ry + y = -1 at (2,1). Consider ry? +x²y = 6. dy a. Find b. Find the slope of the tangent at the point (1,2). c. Find the point where tangent line horizontal. d. Find the point where the tangent line is vertical. I. If f(x) = r* and g(z) = r°, then f'(x) = 4r² and g'(r) = 3r². The Chain Rule multiplies derivatives to get 12r. But f (g(x)) = (x*)* = z1² and its derivative is NOT 12,, Where is the flaw? SAINT COLUMBAN COLLEGE Comer V. Cerilen - Gagun Sereetn, San Francisco Diatrict, Pagadian Cty Tel Nos: 2151799/2151800 I Fax No 214120 I Webste www.sccpag edu ph E-mai sccpc197@gmail com ACTIVITY 4: NAME: STRAND/SECTION: DATE: SUPPOSE THAT y IS DIFFERNTIABLE FUNTION OF THE VARIABLE X. FIND DXY or *IMPLICIT DIFFERENTIATION 1. X2 = X+2Y X-2Y 4/5 2. Csc (x- у) + sec(x + у)%3D х
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Implicit Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS