(a)  Determine domain and the intercepts of f(x). (b)  Find the equation of the vertical asymptote and the equation of the slant asymptote (c)  Use the first derivative to determine the coordinates of relative maximums , and minimums and the intervals of increase/decreaseof f(x). (d)  Use the second derivative to determine the points of inflection and intervals of concavity of f(x).   (e)  Sketch the graph of f(x)  and label the maxes (M), mins (m) inflection points (IP) on the graph.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a)  Determine domain and the intercepts of f(x).

(b)  Find the equation of the vertical asymptote and the equation of the slant asymptote

(c)  Use the first derivative to determine the coordinates of relative maximums , and minimums and the intervals of increase/decreaseof f(x).

(d)  Use the second derivative to determine the points of inflection and intervals of concavity of f(x).

 

(e)  Sketch the graph of f(x)  and label the maxes (M), mins (m) inflection points (IP) on the graph.

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