# List of functions used for tangent/normal 2D.
# An item in this list will be picked randomly at each exercise.
# Structure of item: multi-line.
# line 1 is function description.
# line 2 is derivative.
# line 3 is proportionality
# The rest is values for parameters c1, c2, etc.

:exp(c1*x^2+c2*x+c3)
 (2*(c1)*x+c2)*exp(c1*x^2+c2*x+c3)
 1.2
 -0.8,-0.7,-0.6,-0.5,-0.4,0.4,0.5,0.6,0.7,0.8
 -1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,-0.5,-0.4,-0.3,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.1,1.2,1.3,1.4
 -1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,-0.5,-0.4,-0.3,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.1,1.2,1.3,1.4
:c3*cos(c1*x)+c4*sin(c2*x)
 c4*(c2)*cos(c2*x)-c3*(c1)*sin(c1*x)
 1
 -1.5,-1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,0.6,0.7,0.8,0.9,1.1,1.2,1.3,1.4,1.5
 -1.5,-1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,0.6,0.7,0.8,0.9,1.1,1.2,1.3,1.4,1.5
 -1.5,-1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,0.6,0.7,0.8,0.9,1.1,1.2,1.3,1.4,1.5
 -1.5,-1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,0.6,0.7,0.8,0.9,1.1,1.2,1.3,1.4,1.5
:(c1*x+c2)/(c3*x^2+c4)
 c1/(c3*x^2+c4)^2-2*(c3)*x*(c1*x+c2)/(c3*x^2+c4)^2
 1
 -3,-2.7,-2.5,-2.2,-2,-1.8,-1.5,-1.3,1.3,1.5,1.8,2,2.2,2.5,2.7,3
 -3,-2.7,-2.5,-2.2,-2,-1.8,-1.5,-1.3,1.3,1.5,1.8,2,2.2,2.5,2.7,3
 1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2,2.1,2.2,2.3,2.4,2.7,3
 3,3.1,3.2,3.4,3.5,3.7,4,4.2,4.4,4.5,5
 

 