Find dr and simplify the result, if possible. y= see 1.

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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Messenger name: Marivic Rubio Daniel-Tañola
Phone number: 09501199927
Email account: marivicd67@sccpag.com
SAINT COLUMBAN COLLEGE
Comer V. Ceriles Sagun Streetn, San Francisco Diatrict, Pagadian Cty
Tel Nos 21517999/2151800 I Fax No 21412oI Webae www.sccpagedu ph E-mar sccpc1957@umal.com
*Please show your complete solutions.
ACTIVITY 1:
NAME:
STRAND/SECTION:
DATE:
dy
and simplify the result, if possible.
dr
Find
y = sec a
sin r-1
1.
2.
Cos z
y = 1 sinr cos z
3.
4.
y =-- tan I cot z
secx
5. f(x) =
1-sinz
SAINT COLUMBAN COLLEGE
Comer V. Ceres Sagun Seeets, San Fancsco Disa
Tel Ne 2151r9/2 00 faNo 2200I Webte www.soepag.edu ph Emal sepe
2/5
ACTIVITY 2:
Transcribed Image Text:Messenger name: Marivic Rubio Daniel-Tañola Phone number: 09501199927 Email account: marivicd67@sccpag.com SAINT COLUMBAN COLLEGE Comer V. Ceriles Sagun Streetn, San Francisco Diatrict, Pagadian Cty Tel Nos 21517999/2151800 I Fax No 21412oI Webae www.sccpagedu ph E-mar sccpc1957@umal.com *Please show your complete solutions. ACTIVITY 1: NAME: STRAND/SECTION: DATE: dy and simplify the result, if possible. dr Find y = sec a sin r-1 1. 2. Cos z y = 1 sinr cos z 3. 4. y =-- tan I cot z secx 5. f(x) = 1-sinz SAINT COLUMBAN COLLEGE Comer V. Ceres Sagun Seeets, San Fancsco Disa Tel Ne 2151r9/2 00 faNo 2200I Webte www.soepag.edu ph Emal sepe 2/5 ACTIVITY 2:
SAINT COLUMBAN COLLEGE
Comer V. Ceres Sagun Soets. San Franooco Diotrit Pegaden Cty
Tel Noe 2151799/2151800 I Fa No 2141200 I Website www.seoepag edu phE-mat scepe1067@gmal.com
ACTIVITY 2:
NAME:
STRAND/SECTION:
DATE:
I.
1. Find y. y",", and y" for the following expressions:
a. y = a
d. y =r
b. y=7
z4
e. y= 32
f. y=z15
c. y=
2. Find the first and second derivatives of the following:
a. y-zVE
e. k(t) -
b. f(u) =-
c. f(t) = Vi
1
f. h(s) =
d. g(z) -
II.
in terms of z.
dz
1
1. Use the Chain Rule to find
a. y- (u - 2)a and
u=
2r +1
b. y= Vu and u= 5z -3
1
u+1
dy
2. Solve for and simplify the result.
1
and u=+1
c. y=
dr
a. y- (3r - 2)*(2+ 5)6
5r-1
b. y=
2r +3
c. y=zv4-
3. Find the derivatives of the following functions as specified:
d. g(z) - ( + 1)17, g(2)(2)
e. y- (- VE)-32 "
a. y = sin a, "
b. h(2) = (9z + 4)}, h(2)
SAINT COLUMBAN COLLEGE
Comer V. Ceriles Sagun Seeets, San Francisco District, Pagadar
Tel Nos 215172151800 I Fax No 214120 I webste www.sccpag edu phI E-mak scpc196omail com
ACTIVITY 8:
NAME:
STRAND/SECTION:
DATE:
I.
3/5
Find the equation of the tangent line to a? – 3ry + y? = -1 at (2,1).
Consider ry? +x²y = 6.
Transcribed Image Text:SAINT COLUMBAN COLLEGE Comer V. Ceres Sagun Soets. San Franooco Diotrit Pegaden Cty Tel Noe 2151799/2151800 I Fa No 2141200 I Website www.seoepag edu phE-mat scepe1067@gmal.com ACTIVITY 2: NAME: STRAND/SECTION: DATE: I. 1. Find y. y",", and y" for the following expressions: a. y = a d. y =r b. y=7 z4 e. y= 32 f. y=z15 c. y= 2. Find the first and second derivatives of the following: a. y-zVE e. k(t) - b. f(u) =- c. f(t) = Vi 1 f. h(s) = d. g(z) - II. in terms of z. dz 1 1. Use the Chain Rule to find a. y- (u - 2)a and u= 2r +1 b. y= Vu and u= 5z -3 1 u+1 dy 2. Solve for and simplify the result. 1 and u=+1 c. y= dr a. y- (3r - 2)*(2+ 5)6 5r-1 b. y= 2r +3 c. y=zv4- 3. Find the derivatives of the following functions as specified: d. g(z) - ( + 1)17, g(2)(2) e. y- (- VE)-32 " a. y = sin a, " b. h(2) = (9z + 4)}, h(2) SAINT COLUMBAN COLLEGE Comer V. Ceriles Sagun Seeets, San Francisco District, Pagadar Tel Nos 215172151800 I Fax No 214120 I webste www.sccpag edu phI E-mak scpc196omail com ACTIVITY 8: NAME: STRAND/SECTION: DATE: I. 3/5 Find the equation of the tangent line to a? – 3ry + y? = -1 at (2,1). Consider ry? +x²y = 6.
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