Explain the relationship between the slope and the derivative of f(x) at x= a. Choose the correct answer below. O A. The derivative of f(x) at x = a equals the slope of the function at x= a. O B. The slope of the function at x= a describes the rate of change for the derivative of f(x) at x= a. O C. The derivative of f(x) at x = a describes the rate of change for the slope of the function at x= a. O D. The derivative of f(x) at x = a is unrelated to the slope of the function at x = a.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section: Chapter Questions
Problem 47CT
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Explain the relationship between the slope and the derivative of f(x) at x = a.
Choose the correct answer below.
O A. The derivative of f(x) at x = a equals the slope of the function at x= a.
O B. The slope of the function at x = a describes the rate of change for the derivative of f(x) atx=a.
O C. The derivative of f(x) at x = a describes the rate of change for the slope of the function at x = a.
O D. The derivative of f(x) at x = a is unrelated to the slope of the function at x = a.
Click to select your answer and then click Check Answer.
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Transcribed Image Text:Explain the relationship between the slope and the derivative of f(x) at x = a. Choose the correct answer below. O A. The derivative of f(x) at x = a equals the slope of the function at x= a. O B. The slope of the function at x = a describes the rate of change for the derivative of f(x) atx=a. O C. The derivative of f(x) at x = a describes the rate of change for the slope of the function at x = a. O D. The derivative of f(x) at x = a is unrelated to the slope of the function at x = a. Click to select your answer and then click Check Answer. All parts showing
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