0 1 3 2 X f(x) f'(x) -2 -1 2 N 2 133 When x = 0 then D 1 255 324 X 0 3 g(x) 1 2 g'(x) 2 3 -2 0 g(x) D (3 (2)) = [ f(x) 4. 5 3 4 1 0 دانان 4 -1 -3 5 0 4 6 03 0 7 621 75 3 6 7 4 5

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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The image displays two tables containing values of functions and their derivatives evaluated at different points, along with a mathematical expression involving these functions.

First Table:

- **Labels:** 
  - x
  - f(x)
  - f'(x)
  
- **Values:**

| x   | 0 | 1 | 2 | 3  | 4 | 5 | 6 | 7 |
|-----|---|---|---|----|---|---|---|---|
| f(x)| 3 | 2 | 1 |-2  | 3 | 4 | 0 | 5 |
| f'(x)|-2 |-1 | 2 | 4  | 1 | 0 | 3 | 6 |

Second Table:

- **Labels:** 
  - x
  - g(x)
  - g'(x)
  
- **Values:**

| x   | 0 | 1 | 2 | 3  | 4 | 5 | 6  | 7 |
|-----|---|---|---|----|---|---|----|---|
| g(x)| 1 | 3 | 5 | 2  |-1 | 0 |-2  | 4 |
| g'(x)| 2 |-3 |-2 | 0 |-3 | 4 | 1 | 5 |

Below the tables, there is a mathematical expression:

- "When x = 0 then \( D\left(\frac{g(x)}{f(x)}\right) = \) [blank space for answer]"

This expression likely refers to the derivative of the quotient of the functions g(x) and f(x) when x is 0, which is to be calculated using values from the tables.
Transcribed Image Text:The image displays two tables containing values of functions and their derivatives evaluated at different points, along with a mathematical expression involving these functions. First Table: - **Labels:** - x - f(x) - f'(x) - **Values:** | x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |-----|---|---|---|----|---|---|---|---| | f(x)| 3 | 2 | 1 |-2 | 3 | 4 | 0 | 5 | | f'(x)|-2 |-1 | 2 | 4 | 1 | 0 | 3 | 6 | Second Table: - **Labels:** - x - g(x) - g'(x) - **Values:** | x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |-----|---|---|---|----|---|---|----|---| | g(x)| 1 | 3 | 5 | 2 |-1 | 0 |-2 | 4 | | g'(x)| 2 |-3 |-2 | 0 |-3 | 4 | 1 | 5 | Below the tables, there is a mathematical expression: - "When x = 0 then \( D\left(\frac{g(x)}{f(x)}\right) = \) [blank space for answer]" This expression likely refers to the derivative of the quotient of the functions g(x) and f(x) when x is 0, which is to be calculated using values from the tables.
Expert Solution
Step 1: We have to find D(g(x)/f(x)) when x=0, by using two given tables.

Calculus homework question answer, step 1, image 1

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