14-16 Make a careful sketch of the graph of ƒ and below it sketch the graph of f' in the same manner as in Exercises 4-11. Can you guess a formula for f'(x) from its graph? 14. f(x) = sin x 15. f(x) = ex 16. f(x) = ln x

Calculus: Early Transcendentals
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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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14-16 Make a careful sketch of the graph of f and below it sketch
the graph of f' in the same manner as in Exercises 4-11. Can you
guess a formula for f'(x) from its graph?
14. f(x) = sin x
15. f(x) = ex
16. f(x) = ln x
Transcribed Image Text:14-16 Make a careful sketch of the graph of f and below it sketch the graph of f' in the same manner as in Exercises 4-11. Can you guess a formula for f'(x) from its graph? 14. f(x) = sin x 15. f(x) = ex 16. f(x) = ln x
1-2 Use the given graph to estimate the value of each derivative.
Then sketch the graph of f'.
1. (a) ƒ'(-3)
(b) f'(-2)
(c) f'(-1)
(d) f'(0)
(e) f'(1)
(f) f'(2)
(g) f'(3)
2. (a) f'(0)
(b) f'(1)
(c) f'(2)
(d) f'(3)
(e) f'(4)
(f) f'(5)
(g) f'(6)
(h) f'(7)
O
1
3. Match the graph of each function in (a)-(d) with the graph of
its derivative in I-IV. Give reasons for your choices.
(a)
(b)
0
0
UA
0
X
(d)
I
III
5.
Ja
0
YA
0
II
4-11 Trace or copy the graph of the given function f. (Assume that
the axes have equal scales.) Then use the method of Example 1 to
sketch the graph of f' below it.
4.
X
IV
YA
Å:
6.
ya
÷
Transcribed Image Text:1-2 Use the given graph to estimate the value of each derivative. Then sketch the graph of f'. 1. (a) ƒ'(-3) (b) f'(-2) (c) f'(-1) (d) f'(0) (e) f'(1) (f) f'(2) (g) f'(3) 2. (a) f'(0) (b) f'(1) (c) f'(2) (d) f'(3) (e) f'(4) (f) f'(5) (g) f'(6) (h) f'(7) O 1 3. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. Give reasons for your choices. (a) (b) 0 0 UA 0 X (d) I III 5. Ja 0 YA 0 II 4-11 Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of Example 1 to sketch the graph of f' below it. 4. X IV YA Å: 6. ya ÷
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