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Mathematik-Online problems:

Problem 942: Concavity and Inflection Points

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Check on which intervals are the following functions concave upward or downward and identify the points of inflection.
(a)
$ \displaystyle f(x) = x+2 - \frac{1}{x+2}$.
(b)
$ f(x) = \cos (x) \;\;\;$   for$ \;\;\; 0 \le x \le 2\pi$.
(c)
$ f(x) = \ln (5x)$.
(d)
$ f(x) = (x-1)^2(x+5)$.
(Author: Rafee )

Solution:

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  automatisch erstellt am 14. 10. 2004