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Lösung 1.2:2b

Aus Online Mathematik Brückenkurs 2

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Version vom 10:03, 11. Mär. 2009

The whole expression consists of two parts: the outer part, "e raised to something",

e

where "something" is the inner part =x2+x.

The derivative is calculated according to the chain rule by differentiating e with respect to and then multiplying by the inner derivative  , i.e.

ddxex2+x=ex2+xx2+x. 

The inner part is an ordinary polynomial which we differentiate directly,

ddxex2+x=ex2+x(2x+1).
Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_1.2:2b“