Asked by Sckricks
Suppose that f(x)=ln(3+x^2). Use interval notation to state when f(x) is concave up and concave down. Then find all inflection points for f(x).
Answers
Answered by
Steve
f' = 2x/(3+x^2)
f" = 2(3-x^2)/(3+x^2)^2
inflection where f" = 0. That is, where
x^2 = 3
concave up where f" > 0
f" = 2(3-x^2)/(3+x^2)^2
inflection where f" = 0. That is, where
x^2 = 3
concave up where f" > 0
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