Sketch the graph of y = f(x) with emphasis on concavity. Label all the intercept points, relative extremum points, and inflection points with their coordinates. Show the asymp- totes of the graph of f and label them with their respective equations.

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 25E: Explain the relationship between the slope and the derivative of fx at x=a.
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d. Sketch the graph of y = f(x) with emphasis on concavity. Label all the intercept points,
relative extremum points, and inflection points with their coordinates. Show the asymp-
totes of the graph of f and label them with their respective equations.
Transcribed Image Text:d. Sketch the graph of y = f(x) with emphasis on concavity. Label all the intercept points, relative extremum points, and inflection points with their coordinates. Show the asymp- totes of the graph of f and label them with their respective equations.
2. Given:
f(x) =
x³ + 2x²
(x - 1)² ¹
with f'(x):
-
x³ - 3x² - 4x
(x - 1)³
and f"(x)
=
14x + 4
(x - 1)4*
Transcribed Image Text:2. Given: f(x) = x³ + 2x² (x - 1)² ¹ with f'(x): - x³ - 3x² - 4x (x - 1)³ and f"(x) = 14x + 4 (x - 1)4*
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