Consider the function f(x) shown in the diagram. Draw the secant line to f(x) over the interval [0, 8] 15+ 14+ 13+ 12+ HI+ -2 msec 10+ 9+ 8+ 7+ 6+ -2 $+ 4- 34 2+ H Clear All Draw: ++ -2+ mtan Approximate the slope of the secant line: Now draw what appears to be a tangent line to f(x) at x = 6. 15+ 14+ 13+ 12+ 11+ 10+ 94 8+ 7+ 6+ 5+ 4+ 3- 2+ 1- 4 5 + -2- -3- Clear All Draw: 6 8 9 10 11 8 9 10 11 Approximate the slope of the tangent line at x = 6: Finally, write the equation of the line tanget to f(x) at x = 6. Equation:
Consider the function f(x) shown in the diagram. Draw the secant line to f(x) over the interval [0, 8] 15+ 14+ 13+ 12+ HI+ -2 msec 10+ 9+ 8+ 7+ 6+ -2 $+ 4- 34 2+ H Clear All Draw: ++ -2+ mtan Approximate the slope of the secant line: Now draw what appears to be a tangent line to f(x) at x = 6. 15+ 14+ 13+ 12+ 11+ 10+ 94 8+ 7+ 6+ 5+ 4+ 3- 2+ 1- 4 5 + -2- -3- Clear All Draw: 6 8 9 10 11 8 9 10 11 Approximate the slope of the tangent line at x = 6: Finally, write the equation of the line tanget to f(x) at x = 6. Equation:
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...
Related questions
Question
![Consider the function f(x) shown in the diagram.
Draw the secant line to f(x) over the interval [0, 8]
15+
14+
13-
12+
11+
10+
9+
8+
7+
6+
5+
-2 -1
msec
4-
3
-2
2
1
-1
+
-2
-3
Clear All Draw:
15+
14-
13+
12
11
10+
9+
8+
7+
Approximate the slope of the secant line:
6+
5+
4+
3-
2+
#+
+
2
Now draw what appears to be a tangent line to f(x) at x = 6.
-2
Clear All Draw:
mtan~
+
2
4
Equation:
||
3
3
4
6
5
7 8
9 10 11
6
Approximate the slope of the tangent line at x = 6:
+ +
+ +
7 8 9 10 11
Finally, write the equation of the line tanget to f(x) at x = 6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdc4bd04-a070-4f0a-8c81-81114a590c8c%2F9314c91f-2200-4dbe-8a8d-0e9ea809a947%2Fpc37h2w_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) shown in the diagram.
Draw the secant line to f(x) over the interval [0, 8]
15+
14+
13-
12+
11+
10+
9+
8+
7+
6+
5+
-2 -1
msec
4-
3
-2
2
1
-1
+
-2
-3
Clear All Draw:
15+
14-
13+
12
11
10+
9+
8+
7+
Approximate the slope of the secant line:
6+
5+
4+
3-
2+
#+
+
2
Now draw what appears to be a tangent line to f(x) at x = 6.
-2
Clear All Draw:
mtan~
+
2
4
Equation:
||
3
3
4
6
5
7 8
9 10 11
6
Approximate the slope of the tangent line at x = 6:
+ +
+ +
7 8 9 10 11
Finally, write the equation of the line tanget to f(x) at x = 6.
Expert Solution
Step 1: Introduce to the given graph of the function
The graph of the function f(x) is shown as,
Step by step
Solved in 8 steps with 20 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning