1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). 2. Choose one of the following to answer: Explain, based on the shape of the graph, why the derivative of any sinusoidal function is also going to be a sinusoidal function. Include a sketch with your response. Explain, based on the shape of the graph, why the derivative of any exponential function is also going to be an exponential function. Include a sketch with your response.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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can you explain easily question number 2 for me please
!
1
1. The graph of f(x) is shown
to the right.
On the same grid, draw a
sketch of f'(x).
0
F1
Q
A
@
2
F2
W
C
2. Choose one of the following to answer:
Explain, based on the shape of the graph, why
the derivative of any sinusoidal function is also
going to be a sinusoidal function. Include a
sketch with your response.
#3
80
F3
E
C
$
4
000
000
F4
R
%
5
A
F5
T
^
6
MacBook Air
F6
Explain, based on the shape of the graph, why
the derivative of any exponential function is also
going to be an exponential function. Include a
sketch with your response.
Y
&
7
◄◄
F7
U
* CO
8
DII
F8
-
(
9
DD
F9
)
0
A
F10
0 P
I'
3)
F1
Transcribed Image Text:! 1 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). 0 F1 Q A @ 2 F2 W C 2. Choose one of the following to answer: Explain, based on the shape of the graph, why the derivative of any sinusoidal function is also going to be a sinusoidal function. Include a sketch with your response. #3 80 F3 E C $ 4 000 000 F4 R % 5 A F5 T ^ 6 MacBook Air F6 Explain, based on the shape of the graph, why the derivative of any exponential function is also going to be an exponential function. Include a sketch with your response. Y & 7 ◄◄ F7 U * CO 8 DII F8 - ( 9 DD F9 ) 0 A F10 0 P I' 3) F1
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