-2x-8 ·(x-1) ³.) 4x+26 f"(x) = (x-1)² fars= 2x+3 (x-1)²) f'ox) = or a) Find the intervals on which the function is increasing decreasing. Draw a sign chart to organize your work. b) Find all the local maximum valves & minimum valves of the function.

-2x-8 ·(x-1) ³.) 4x+26 f"(x) = (x-1)² fars= 2x+3 (x-1)²) f'ox) = or a) Find the intervals on which the function is increasing decreasing. Draw a sign chart to organize your work. b) Find all the local maximum valves & minimum valves of the function.

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.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 19E

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Question

4x+26
f"(x) = (x-1) ²
(x-1)³ )
a) Find the intervals
on which the function is increasing
or
decreasing. Draw a sign chart to organize your work.
b) Find all the local maximum valves & minimum valves
of the function.
2x+3
fcx)= (x-1)²)
f'cx)= -2x-8

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Step 1: Define the problem

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Step 2: Calculate the sign table for f'(x)

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Step 3: Calculate the interval of increasing and decreasing

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Step 4: Calculate the local maximum and minimum values of the function

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