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A D C Graph of f

A D C Graph of f

Calculus: Early Transcendentals
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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Question

Take a look at the graph of f below. Which has the greatest value?

**Title: Understanding the Graph of \( f \)** **Introduction** Take a look at the graph of \( f \) below. The graph illustrates a curve with points labeled A, B, C, and D on the coordinate plane. Your task is to determine which point on this curve has the greatest value of the derivative \( f'(x) \). **Graph Description** The graph labeled "Graph of \( f \)" displays the following: - **Point A**: Located on the upward-sloping section of the curve on the left side of the y-axis. - **Point B**: Situated on a downward-sloping section near the x-axis. - **Point O**: Represents the origin where the curve intersects the axes, showing a flat tangent. - **Point C**: On the lower part of the curve, indicating a local minimum. - **Point D**: Positioned to the right, on a downward slope past point C. **Question** Which of the following has the greatest value? - \( f'(A) \) - \( f'(B) \) - \( f'(C) \) - \( f'(D) \) **Conclusion** Choose the option that correctly identifies the point with the greatest derivative value \( f'(x) \) based on the graph's slopes.
Transcribed Image Text:**Title: Understanding the Graph of \( f \)** **Introduction** Take a look at the graph of \( f \) below. The graph illustrates a curve with points labeled A, B, C, and D on the coordinate plane. Your task is to determine which point on this curve has the greatest value of the derivative \( f'(x) \). **Graph Description** The graph labeled "Graph of \( f \)" displays the following: - **Point A**: Located on the upward-sloping section of the curve on the left side of the y-axis. - **Point B**: Situated on a downward-sloping section near the x-axis. - **Point O**: Represents the origin where the curve intersects the axes, showing a flat tangent. - **Point C**: On the lower part of the curve, indicating a local minimum. - **Point D**: Positioned to the right, on a downward slope past point C. **Question** Which of the following has the greatest value? - \( f'(A) \) - \( f'(B) \) - \( f'(C) \) - \( f'(D) \) **Conclusion** Choose the option that correctly identifies the point with the greatest derivative value \( f'(x) \) based on the graph's slopes.
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