Let f(x) = sin(x) + 15x. We can check easily that f (0) = 0. Explain using the Mean Value Theorem, why it is impossible for there to be another value z where f (z) = 0. Hint: Suppose there was another value z where f (z) = 0. What would the MVT tell us about the interval [0, z]? And why is that not possible?
Let f(x) = sin(x) + 15x. We can check easily that f (0) = 0. Explain using the Mean Value Theorem, why it is impossible for there to be another value z where f (z) = 0. Hint: Suppose there was another value z where f (z) = 0. What would the MVT tell us about the interval [0, z]? And why is that not possible?
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.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Let f(x) = sin(x) + 15x. We can check easily that f (0) = 0. Explain using the Mean Value Theorem, why it is
impossible for there to be another value z where f (z) = 0.
Hint: Suppose there was another value z where f (z) = 0. What would the MVT tell us about the interval [0, z]? And
why is that not possible?
impossible for there to be another value z where f (z) = 0.
Hint: Suppose there was another value z where f (z) = 0. What would the MVT tell us about the interval [0, z]? And
why is that not possible?
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