Use the MVT to show • Prove that the derivative of f(x) = k, on [a, b], where k is constant, is identically zero on [a, b]. Hint: Apply the MVT to f(x) = k on the interval [a, b] • Prove that if f'(x) < 0 on [a, b], then f(x) is decreasing on [a, b]. Hint: See notes/videos on how to show that if f'(x) > 0, then f(x) is increasing.

Use the MVT to show • Prove that the derivative of f(x) = k, on [a, b], where k is constant, is identically zero on [a, b]. Hint: Apply the MVT to f(x) = k on the interval [a, b] • Prove that if f'(x) < 0 on [a, b], then f(x) is decreasing on [a, b]. Hint: See notes/videos on how to show that if f'(x) > 0, then f(x) is increasing.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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