12-14. Use the table to find the following derivatives. X f'(x) g'(x) 12. 13. d dx 1 3 2 - (f(x) + g(x)) d dz (1.5ƒ(x)) |2=2 d x=1 (2x − 3g(x))x=4 - 2 5 4 3 2 3 4 1 10 1 -x - 2. Find 14. dx 15. If f(t) = t¹0, find f'(t), f"(t), and fill(t). 16. Find an equation of the line tangent to the graph of y = e at x = 0. 1 17. The line tangent to the graph of fat x = x = 5 is y= 5 4 5
12-14. Use the table to find the following derivatives. X f'(x) g'(x) 12. 13. d dx 1 3 2 - (f(x) + g(x)) d dz (1.5ƒ(x)) |2=2 d x=1 (2x − 3g(x))x=4 - 2 5 4 3 2 3 4 1 10 1 -x - 2. Find 14. dx 15. If f(t) = t¹0, find f'(t), f"(t), and fill(t). 16. Find an equation of the line tangent to the graph of y = e at x = 0. 1 17. The line tangent to the graph of fat x = x = 5 is y= 5 4 5
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 1E
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Question
Question 13, show work, thank you!
Answer = 7.5
![12-14. Use the table to find the following derivatives.
X
f'(x)
g'(x)
12.
13.
d
dx
d
dx
d
1
3
2
(f(x) + 9(x)) |z=1
(1.5ƒ(x))|z=2
(2x − 3g(x))
-
-3g(x)) 2=4
2
LO
5
2
3
4
1
10
1
14.
dx
15. If f(t) = t¹0, find f'(t), f"(t), and fill(t).
16. Find an equation of the line tangent to the graph of y = e at x = 0.
1
17. The line tangent to the graph of f at x = = 5 is y=
- x - 2. Find
5
4
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F627ffe10-a730-4e4c-b7e9-b306478e5985%2Feafbab69-2a8a-4c8f-8f6d-d7e6833aa973%2Fhlgtcn85_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12-14. Use the table to find the following derivatives.
X
f'(x)
g'(x)
12.
13.
d
dx
d
dx
d
1
3
2
(f(x) + 9(x)) |z=1
(1.5ƒ(x))|z=2
(2x − 3g(x))
-
-3g(x)) 2=4
2
LO
5
2
3
4
1
10
1
14.
dx
15. If f(t) = t¹0, find f'(t), f"(t), and fill(t).
16. Find an equation of the line tangent to the graph of y = e at x = 0.
1
17. The line tangent to the graph of f at x = = 5 is y=
- x - 2. Find
5
4
5
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