Consider the function f(x) = x3 – 2x2 - 14x + 13. (a) Use a graphing calculator to graph fin an appropriate viewing window. y y 30 30 30 20 20 10 10 10 -5 5 -10 - 10 - 10 20 -20 -3아 - 30 y 30 20 -5 - 10 - 20

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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Consider the function f(x) = x° - 2x2 - 14x + 13.
(a) Use a graphing calculator to graph fin an appropriate viewing window.
y
y
30
30
30
20
20
10
10
10
-5
-5
–10
- 10
-26
20
- 20
- 30
- 30
y
30
20
10
X
-5
- 10
- 20
– 30
(b) Use the ZOOM feature on the calculator to approximate the two values of x = a for which man = f'(a) = 0. (Round your answers to three decimal places. Enter your answers as a
comma-separated list.)
X =
Transcribed Image Text:Consider the function f(x) = x° - 2x2 - 14x + 13. (a) Use a graphing calculator to graph fin an appropriate viewing window. y y 30 30 30 20 20 10 10 10 -5 -5 –10 - 10 -26 20 - 20 - 30 - 30 y 30 20 10 X -5 - 10 - 20 – 30 (b) Use the ZOOM feature on the calculator to approximate the two values of x = a for which man = f'(a) = 0. (Round your answers to three decimal places. Enter your answers as a comma-separated list.) X =
Use the limit definition of the derivative to show that the derivative does not exist at x = a for the function.
[7, x < 7
|x, x2 7'
f(x)
x = 7
f(x) – 7
lim
X - 7
f(x) – 7
lim
x→ァ* × 7
Transcribed Image Text:Use the limit definition of the derivative to show that the derivative does not exist at x = a for the function. [7, x < 7 |x, x2 7' f(x) x = 7 f(x) – 7 lim X - 7 f(x) – 7 lim x→ァ* × 7
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