4. Theorem 11.2.4 contains three product rules. What are the three different types of products used in these rules? Problems In Exercises 5-8, evaluate the given limit. 5. lim (2t +1,31² - 1, sin t) 1-5 6. lim 1-3 7. lim ((1+1)²) sin t+3 8. lim h-0 where r(t) = (t², t, 1). In Exercises 9-10, identify the interval(s) on which 7(t) is continuous. 7(t+h)-7(t) h O Search 9. 7(t) = (t²,1/t) 10. 7(t) = (cost, e¹, In t) In Exercises 11-16, find the derivative of the given function. 11. 7(t) = (cost, e¹, Int) hp I 22. (t) = 23. F(t)= 24. 7(t)= In Exercis smooth. 25. 7(t) = 26. 7(t) = 27. 7(t) = ( 28. 7(t) = (t Exercises 29 In each let (sin t,e', t). 29. Simplify f - same as f' 30. Simplify 7(t same as 7'( 31. Simplify r(t) same as 7' (t W
4. Theorem 11.2.4 contains three product rules. What are the three different types of products used in these rules? Problems In Exercises 5-8, evaluate the given limit. 5. lim (2t +1,31² - 1, sin t) 1-5 6. lim 1-3 7. lim ((1+1)²) sin t+3 8. lim h-0 where r(t) = (t², t, 1). In Exercises 9-10, identify the interval(s) on which 7(t) is continuous. 7(t+h)-7(t) h O Search 9. 7(t) = (t²,1/t) 10. 7(t) = (cost, e¹, In t) In Exercises 11-16, find the derivative of the given function. 11. 7(t) = (cost, e¹, Int) hp I 22. (t) = 23. F(t)= 24. 7(t)= In Exercis smooth. 25. 7(t) = 26. 7(t) = 27. 7(t) = ( 28. 7(t) = (t Exercises 29 In each let (sin t,e', t). 29. Simplify f - same as f' 30. Simplify 7(t same as 7'( 31. Simplify r(t) same as 7' (t W
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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11.2)question 5
Transcribed Image Text:4. Theorem 11.2.4 contains three product rules. What are the
three different types of products used in these rules?
Problems
In Exercises 5-8, evaluate the given limit.
5. lim (2t+1,3t²-1, sin t)
1-5
6. lim
(e².²-3)
7.
lim ((1+1)²)
sin
8. lim
h-0
O Search
7(t+h)-7(t), where 7(t) = (t², t, 1).
h
In Exercises 9-10, identify the interval(s) on which 7(t) is
continuous.
9. 7(t) = (t²,1/t)
10. 7(t) = (cost, e¹, Int)
In Exercises 11-16, find the derivative of the given function.
11. 7(t) = (cost, e¹, Int)
hp
ww
I
22. (t) =
23. F(t)=
24. 7(t)=
In Exercis
smooth.
25. 7(t) =
26. 7(t)=(
27. 7(t)= (-
28. 7(t) = (t
Exercises 29
In each let
(sin t,e', t).
29. Simplify f
- same as f'
30. Simplify 7(t
same as 7'
31. Simplify r(t)
same as 7'(t
W
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