Derivative constructions
Author: Russell Blyth

Demonstrations of constructing derivatives

pw = If(x < -2, 1 + (x + 2)^(2), If[x < 2, sqrt(x + 3), sin(x)])
f(x) = sin(x) + 2 * ℯ^((-x^(2)) / 10)
A = Point(xAxis)
p = Tangent(x(A), f)
m = Slope(p)
D: (x(A), m)
df = Derivative(f)
f'(x) = f'(x)
ddf = Derivative(f, 2)