Answered: Assume f is a differentiable function…

Assume f is a differentiable function on [5, 9]. Assume that f (5) = 2 and that f'(x) > 18 for all x € (5,9). What is the smallest f (9) can be?

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

Section4.1: Techniques For Finding Derivatives

Problem 4E: Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7x

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Question

Assume fis a differentiable function on [5, 9]. Assume that f(5) = 2 and that
f'(x) > 18
for all x € (5,9).
What is the smallest f(9) can be?

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