Use the fact that derivative of a function at a point is the slope of the tangent line to the graph at that point to estimate a) f'(0) b) f'(1), c) f'(2), d)f'(3)
Use the fact that derivative of a function at a point is the slope of the tangent line to the graph at that point to estimate a) f'(0) b) f'(1), c) f'(2), d)f'(3)
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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![7. A graph of a function f is shown below
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Use the fact that derivative of a function at a point is the slope
of the tangent line to the graph at that point to estimate
a) f'(0)
b) f'(1),
c) f'(2),
d) f'(3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3303fe5b-0a87-446b-8411-2c1286062217%2Fa94dcf77-a032-4836-a001-c21094d65224%2Ff31bi1j_processed.png&w=3840&q=75)
Transcribed Image Text:7. A graph of a function f is shown below
5
4
3
2
-2
-1
1
2
3
4
X
-1
|
Use the fact that derivative of a function at a point is the slope
of the tangent line to the graph at that point to estimate
a) f'(0)
b) f'(1),
c) f'(2),
d) f'(3)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
We know that the derivative is 0 at the maximum and minimum point on the graph
From the graph we can see that there is a minimum point at x=0
The derivative at minimum point is 0
So f'(0)=0
Now we find derivative at x=1
To find derivative at x=1 , lets find slope at x=1
Lets pick two points from the graph between x=0 to 2
(0,0) and (1,2)
Slope at x=1 is approximately 2
So f'(1)=2
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