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...
Related questions
Question
Q5,Q15&Q17 needed
Needed to be solved all parts correctly in 1 hour and get the thumbs up please show neat and clean work for it by hand solution needed
Please do all three questions
Please
![INCORPORATING
TECHNOLOGY
also, from part (b), the revenue is R(5) - $6500. Są, the profit at production level
(02x-5 is P(5) 65005667 $833. So, it is still profitable to raise the production
level to x = 5, even though the cost will rise and the revenue will fall.
»Now Try Exercise 47
Although functions can be specified (and differentiated) in graphing calculators with
letters other than X, only functions in X can be graphed. Therefore, we will always use
X as the variable.
Figure 4 contains the graphs of f(x)=x² and its first and second derivatives.
These three graphs can be obtained with any of the function editor settings in Figs. 5(a)
indi ba aholi tosiaand 5(b).com wwwb
HORPL FLEST NUTS REAL RADDAS PP
Figure 4 Graph of x² and its
first two derivatives
Check Your Understanding 1.7
1. Let f(t)=1+ (1/1). Find /"(2).
EXERCISES 1.7
Find the first derivatives.
1. f(1) = (²+1)5
2. f(P) = P³+3p²2-7P+2
3. (1)-4² +11 Vi+1
4. g()= y²-2y +4
3y=75-47 +37² - T-1
6. x 1612 +45 +10
7. Find(3p²-P + 1). 8. Find
Find (²²+b+c). 10. Find
dr
√3+1.
(7²+3P)³.
d
dP
EL FLOAT MUTO PEAL RABEEN TO
Plot Platz Plet
NY₁X²
NY 2X
Y2
NYAM
ENYSH
NYCH
|-۱۷۲-
Y
Figure 5
(a) TI-84 Plus
2. Differentiate g(r)-2mrk.
(21.
11. y=x+1
13, y = √x
15
17. f(r)-²
19. (P) = (3P+1)5
Compute the following.
(2x+7)2²
23.
0
y=√x+1
d
dz
In Exercises 11-20, find the first and second derivatives.
12. y(x+12)³
14. y = 100
16.-2²+3+ 11
18. y=²+3x²
20. T-(1+2)² + 3
EL FLEAT PUTO REAL RADINY HP
Plats Plat2 Plot
NY₁X²
NY20Y₁)
Y(Y₂)
(2²+2:+1) (0)
۹۷۰-
NYS=
NY
NYH
Solutions can be found following the section exercises
(b) TI-84 Plus
22.
24.
0
+
7:37 am](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe83b972a-c189-49af-9357-b08dbf716629%2F17c07476-5e06-4ea3-9a38-44b5b441aa62%2Fdu4ue2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:INCORPORATING
TECHNOLOGY
also, from part (b), the revenue is R(5) - $6500. Są, the profit at production level
(02x-5 is P(5) 65005667 $833. So, it is still profitable to raise the production
level to x = 5, even though the cost will rise and the revenue will fall.
»Now Try Exercise 47
Although functions can be specified (and differentiated) in graphing calculators with
letters other than X, only functions in X can be graphed. Therefore, we will always use
X as the variable.
Figure 4 contains the graphs of f(x)=x² and its first and second derivatives.
These three graphs can be obtained with any of the function editor settings in Figs. 5(a)
indi ba aholi tosiaand 5(b).com wwwb
HORPL FLEST NUTS REAL RADDAS PP
Figure 4 Graph of x² and its
first two derivatives
Check Your Understanding 1.7
1. Let f(t)=1+ (1/1). Find /"(2).
EXERCISES 1.7
Find the first derivatives.
1. f(1) = (²+1)5
2. f(P) = P³+3p²2-7P+2
3. (1)-4² +11 Vi+1
4. g()= y²-2y +4
3y=75-47 +37² - T-1
6. x 1612 +45 +10
7. Find(3p²-P + 1). 8. Find
Find (²²+b+c). 10. Find
dr
√3+1.
(7²+3P)³.
d
dP
EL FLOAT MUTO PEAL RABEEN TO
Plot Platz Plet
NY₁X²
NY 2X
Y2
NYAM
ENYSH
NYCH
|-۱۷۲-
Y
Figure 5
(a) TI-84 Plus
2. Differentiate g(r)-2mrk.
(21.
11. y=x+1
13, y = √x
15
17. f(r)-²
19. (P) = (3P+1)5
Compute the following.
(2x+7)2²
23.
0
y=√x+1
d
dz
In Exercises 11-20, find the first and second derivatives.
12. y(x+12)³
14. y = 100
16.-2²+3+ 11
18. y=²+3x²
20. T-(1+2)² + 3
EL FLEAT PUTO REAL RADINY HP
Plats Plat2 Plot
NY₁X²
NY20Y₁)
Y(Y₂)
(2²+2:+1) (0)
۹۷۰-
NYS=
NY
NYH
Solutions can be found following the section exercises
(b) TI-84 Plus
22.
24.
0
+
7:37 am
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