x²+4 Let: f(x)= x² -4 - 16x 16(3x²+4) - f'(x) = f"(x)= %3D (x² – 4)² ' 1. Find x- and y- intercepts of the graph of f, if it has any. (x² – 4)3 2. Find vertical and horizontal asymptote(s) of f , if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema of f, if it has any.
x²+4 Let: f(x)= x² -4 - 16x 16(3x²+4) - f'(x) = f"(x)= %3D (x² – 4)² ' 1. Find x- and y- intercepts of the graph of f, if it has any. (x² – 4)3 2. Find vertical and horizontal asymptote(s) of f , if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema of f, if it has any.
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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Transcribed Image Text:x²+4
Let: f(x)=
x² -4
- 16x
16(3x²+4)
-
f'(x) =
f"(x)=
%3D
(x² – 4)² '
1. Find x- and y- intercepts of the graph of f, if it has any.
(x² – 4)3
2. Find vertical and horizontal asymptote(s) of f , if it has any.
3. Find the critical number(s), intervals(s) of increasing and decreasing and points of
relative extrema of f, if it has any.
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