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Lösung 1.1:2d

Aus Online Mathematik Brückenkurs 2

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If we write x  in power form x12 , we see that the square root is a function having the appearance of xn and its derivative is therefore equal to

f(x)=ddxx=ddxx12=21x12−1=21x−12. 

The answer can also be written as

f(x)=12x

since x−12=x12−1=x−1=1x .

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_1.1:2d“