Mathematik-Online problems: Problem 133: Curve Sketching of Root Functions

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	Mathematik-Online problems:
	Problem 133: Curve Sketching of Root Functions

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

Given the function $f(x)=(x+2)\sqrt{4-x^2}$ .

a): For which $x\in\mathbb{R}$ is defined? Check where is differentiable and determine .
b): What are the roots and lokal extremums of ?
c): What's the behaviour of for the boundary of the domain?
d): Sketch the graph of .

(Authors: /Höfert)

see also:

automatisch erstellt am 17. 1. 2005