first. Show that your ansW do you prefer? 3-30 Differentiate. 3. y (4x2 + 3)(2x + 5) %3D 4. y (10x2 + 7x 2)(2 - 5. y= x'e* Df(x) = (3x? - 5x)e" %3D Oy- 9 y = er 3 2t 11. g(t) 5t + 1 5t 13. f(t) 13-t-1 15 y=

Calculus: Early Transcendentals
8th Edition
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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 help me to solve problems 3,7,9,11,15,19 and 25 marked here . Differentiate
25 f(t)=
in two ways: by using the Quotient Rule and by simplifying
first. Show that your answers are equivalent. Which method
do
t - 3
x'e*
you prefer?
27. f(x) =
x? + e*
3-30 Differentiate.
3. y = (4x? + 3)(2x + 5)
29. f(x) =
x +
4. y = (10x? + 7x – 2)(2 – x²)
5. y = x'e*
Ofx) = (3x - 5x)e*
6. y = (e* + 2)(2e* – 1)
8. g(x) = (x + 2x) e*
31-34 Find f'(x) and f"(x).
31. f(x) = x²e*
er
y =
10. у 3
1 er
33. f(x) =
x -1
3 21
би - 5и
11. g(t)
12. G(u)
5t + 1
u + 1
35-36 Find an equation of the
the specified point.
5t
1
13. f(t):
t3 -t-1
14. F(x) =
2x3
6x2 + 5
x2
35. у
(1,})
S -
1 + x
y =
15 y =
16.
VI + 1
37-38 Find equations of the ta
given curve at the specified poin
17. J(u) =
и +
18. h(w) = (w² + 3w)(w-- w-)
3x
(1,})
1 + 5x2'
37. у —
19) H(u) = (u - Vu )(u + /u)
Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, In whole or in part. c
Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppr
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any
Transcribed Image Text:25 f(t)= in two ways: by using the Quotient Rule and by simplifying first. Show that your answers are equivalent. Which method do t - 3 x'e* you prefer? 27. f(x) = x? + e* 3-30 Differentiate. 3. y = (4x? + 3)(2x + 5) 29. f(x) = x + 4. y = (10x? + 7x – 2)(2 – x²) 5. y = x'e* Ofx) = (3x - 5x)e* 6. y = (e* + 2)(2e* – 1) 8. g(x) = (x + 2x) e* 31-34 Find f'(x) and f"(x). 31. f(x) = x²e* er y = 10. у 3 1 er 33. f(x) = x -1 3 21 би - 5и 11. g(t) 12. G(u) 5t + 1 u + 1 35-36 Find an equation of the the specified point. 5t 1 13. f(t): t3 -t-1 14. F(x) = 2x3 6x2 + 5 x2 35. у (1,}) S - 1 + x y = 15 y = 16. VI + 1 37-38 Find equations of the ta given curve at the specified poin 17. J(u) = и + 18. h(w) = (w² + 3w)(w-- w-) 3x (1,}) 1 + 5x2' 37. у — 19) H(u) = (u - Vu )(u + /u) Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, In whole or in part. c Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppr Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any
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