Visual Calculus - Derivatives and Graphs

Problem:
Draw the graphs of the function

f(x) = e^-2x² + x

and its second derivative on the closed interval [-3,3].

Visualization:
Using Maple:

> f:=x->exp(-2*x^2)+x;

> g:=D(D(f));

> plot({f(x),g(x)},x=-3..3,thickness=2);