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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
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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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.
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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