62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2 f"(x) = Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, appropriate. if Your answers must be exact or accurate to two decimal places. 21.26 √64=4 √32 3.17 16 2.51 38=2 VA 1.59 En kan on equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: 2-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 2-coordinate(s) of each inflection point of f: 128 5.04
62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2 f"(x) = Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, appropriate. if Your answers must be exact or accurate to two decimal places. 21.26 √64=4 √32 3.17 16 2.51 38=2 VA 1.59 En kan on equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: 2-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 2-coordinate(s) of each inflection point of f: 128 5.04
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Consider the function f and its derivatives below.
f'(x) = -2(2³-32)
(³+64)²
6x²(³-128)
(3+64)3
f"(x) =
f(x) = 3 +64
Fill in the table below. For answers that require intervals, use interval notation and write your answer as
a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if
appropriate.
Your answers must be exact or accurate to two decimal places.
2 1.26
38=2
4 1.59
16 2.51
√32 3.17
equations of vertical asymptote(s) of f:
equations of horizontal asymptote(s) of f:
f is decreasing on:
f is increasing on:
z-coordinate(s) of each local minimum of f:
z-coordinate(s) of each local maximum of f:
f is concave down on:
f is concave up on: 01
x-coordinate(s) of each inflection point of f:
√64=4
128 5.04
Sin den Ja
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