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Curve Sketching of a Periodic Function |
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 | overview |
Symmetry: Since , the function is odd.
Periodicity: As the sine function, the function is -periodic. Hence, it is sufficient to consider the interval .
Points of discontinuity and Poles: The function is a composition of continuous functions, and, therefore, has no points of discontinuity or poles.
Zeros: By the addition theorem, , and it follows that
Extrema: The derivative
Inflection Points: The second derivative
Asymptots: Since is periodic and not constant, it has no asymptotes.
see also:
automatisch erstellt am 22. 6. 2016 |