3. Find h'(x) and h" (x) if h(x) = sec 2r + tan 2r. %3D d 3 4. Find drª 2.r 5. Find D[2 tan 3r|]. 6. Find f(5)(x) if f(r) = cos 2r sin 2.r 7. Find dv if u = v/v – 2 (provided v – 2 > 0). d'y if y = /3– 2r. 8. Find dr3
3. Find h'(x) and h" (x) if h(x) = sec 2r + tan 2r. %3D d 3 4. Find drª 2.r 5. Find D[2 tan 3r|]. 6. Find f(5)(x) if f(r) = cos 2r sin 2.r 7. Find dv if u = v/v – 2 (provided v – 2 > 0). d'y if y = /3– 2r. 8. Find dr3
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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Please answer number 3 and 8. Thank you!
![d²t
1. Find
if t = 2s(14s)².
ds2
2. Find F'(y) and F"(y) if F(y) = {/2y³ +3.
%3D
3. Find h'(x) and h"(x) if h(x) = sec 2.x + tan 2x.
3
4. Find
drª \ 2r
5. Find D2[2 tan 3r].
6. Find f(5)(r) if f(x) = cos 2x sin 2x
du
if u = v/v – 2 (provided v – 2 > 0).
7. Find
dvª
8. Find
if y = /3– 2r.
dy 2r
9. Given r³ + y° = 1, Show that
dr²
1
10. Given ri + yi = 2, Show that
10r
11. Given r³ – y³ = 5, Show that y" :
%3D
R(x)R'(x)
R" (1)
COs I
12. Let R(x)
show that
= -1.
1+ sin r
1
13. Let f(r) =
Show that
1+ sin r
(1+ sin z)³ · F" (x) = cos² x + sin r +1.
%3!
14. Let r+ y = tan y. Show that y/" = -2[cot°y + cot³ y]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12562579-30fe-4e56-9141-a184958e1f95%2Fbb4c73c4-9ae9-4f27-a512-a1ffb22c459c%2F2zedqvb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d²t
1. Find
if t = 2s(14s)².
ds2
2. Find F'(y) and F"(y) if F(y) = {/2y³ +3.
%3D
3. Find h'(x) and h"(x) if h(x) = sec 2.x + tan 2x.
3
4. Find
drª \ 2r
5. Find D2[2 tan 3r].
6. Find f(5)(r) if f(x) = cos 2x sin 2x
du
if u = v/v – 2 (provided v – 2 > 0).
7. Find
dvª
8. Find
if y = /3– 2r.
dy 2r
9. Given r³ + y° = 1, Show that
dr²
1
10. Given ri + yi = 2, Show that
10r
11. Given r³ – y³ = 5, Show that y" :
%3D
R(x)R'(x)
R" (1)
COs I
12. Let R(x)
show that
= -1.
1+ sin r
1
13. Let f(r) =
Show that
1+ sin r
(1+ sin z)³ · F" (x) = cos² x + sin r +1.
%3!
14. Let r+ y = tan y. Show that y/" = -2[cot°y + cot³ y]
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