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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}$ $ f$ is defined? Check where $ f$ is differentiable and determine $ f'(x)$.
b)
What are the roots and lokal extremums of $ f$?
c)
What's the behaviour of $ f'$ for the boundary of the domain?
d)
Sketch the graph of $ f$.

(Authors: /Höfert)

Solution:

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  automatisch erstellt am 17.  1. 2005