Consider the function f(x) = 6√√x + 7 on the interval [4, 8]. (A) Find the average or mean slope of the function on this interval, i.e. f(8) - f(4) 3(√2-1) 8-4 (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (4,8) 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. C List of values: 2 = √2 4
Consider the function f(x) = 6√√x + 7 on the interval [4, 8]. (A) Find the average or mean slope of the function on this interval, i.e. f(8) - f(4) 3(√2-1) 8-4 (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (4,8) 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. C List of values: 2 = √2 4
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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