IIT
MATH 149 -
Math 149 S09 Quiz 4, Problem 3
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Math 149 S09 Quiz 4 Problem 3 restart Function first derivative second derivative f x 3 x 2 3 x 2 f x 3 x2 3 x2 g D f simplify g x h D g simplify h x 18 x 3 x2 2 54 1 x2 3 3 x2 plot f x f 1 h x 3 x 0 3 color red blue green black thickness 2 1 2 1 Confirm location of inflection point by evaluating second derivative at apparent location f 1 g 1 h 1 3 4 9 8 0 Show line y 3 as horizontal asymptote of function plot f x f 1 h x 3 x 0 9 color red blue green black thickness 2 1 2 1
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