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+x2x+1