Processing Math: Done

Aus Online Mathematik Brückenkurs 2

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).