Consider the function f(x) = 2√√x+4 on the interval [2,6]. (A) Find the average or mean slope of the function on this interval. Average Slope = (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (2, 6) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Consider the function f(x) = 2√√x+4 on the interval [2,6].
(A) Find the average or mean slope of the function on this interval.
Average Slope
=1
(B) By the Mean Value Theorem, we know there exists at least one c in the open interval (2, 6) such that f'(c) is equal to this
mean slope. Find all values of c that work and list them (separated by commas) in the box below.
List of values:
Transcribed Image Text:Consider the function f(x) = 2√√x+4 on the interval [2,6]. (A) Find the average or mean slope of the function on this interval. Average Slope =1 (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (2, 6) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values:
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