#16. Other problems listed for reference, thank you 14-16 Make a careful sketch of the graph of f and below it sketchthe graph of f' in the same manner as in Exercises 4-11. Can youguess a formula for f'(x) from its graph?14. f(x) = sin x15. f(x) = ex16. 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)O13. Match the graph of each function in (a)-(d) with the graph ofits derivative in I-IV. Give reasons for your choices.(a)(b)00UA0X(d)IIII5.Ja0YA0II4-11 Trace or copy the graph of the given function f. (Assume thatthe axes have equal scales.) Then use the method of Example 1 tosketch the graph of f' below it.4.XIVYAÅ:6.ya÷

Answered: Image /qna-images/answer/7f11824e-1ca4-41a7-acf3-37d09ff742cb.jpg

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

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

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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Question

#16. Other problems listed for reference, thank you

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
÷

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