drb. 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 Rulemultiplies derivatives to get 12r, But f (g(z)) = () = z12 and its derivative is NOT127, Where is the flaw?SAINT COLUMBAN COLLEGETel No 21 /210 Seots. San Fancsoo Dis, Pagadan GyACTIVITY 4:NAME:STRAND/SECTION:DATE:SUPPOSE THAT yIS DIFFERNTIABLE FUNTION OF THE VARIABLE X. FIND DxY or*IMPLICIT DIFFERENTIATIONX+2Y1. X2 = TAX-2Y2. csc (x - y) + sec(x + y) = x3. cos (x + y) = ysinx4. Vi+ Vxy = 4y?5. = 2 +x5/5 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 COLLEGETN 11ea erY Cermes Sagun Seeets, San Fancsco Dis Pagedan cr00/2151800 | Fa No 214120 I Website wwwsopegedph I Emal sepe1s7@gmail.comACTIVITY 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.dya. Findb. Find the slope of the tangent at the point (1,2).c. Find the point wheretangent linehorizontal.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 Rulemultiplies derivatives to get 12r. But f (g(x)) = (x*)* = z1² and its derivative is NOT12,, Where is the flaw?SAINT COLUMBAN COLLEGEComer V. Cerilen - Gagun Sereetn, San Francisco Diatrict, Pagadian CtyTel Nos: 2151799/2151800 I Fax No 214120 I Webste www.sccpag edu ph E-mai sccpc197@gmail comACTIVITY 4:NAME:STRAND/SECTION:DATE:SUPPOSE THAT y IS DIFFERNTIABLE FUNTION OF THE VARIABLE X. FIND DXY or*IMPLICIT DIFFERENTIATION1. X2 = X+2YX-2Y4/52. Csc (x- у) + sec(x + у)%3D х

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Answered: Find the equation of the tangent line…

Math

Calculus

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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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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

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

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