f

f'

f

f'

g(x) = (3 / 224 * x^(5)) - (5 / 28 * x^(3)) + 1
P1 = Point(g)
P2 = Point(g)
P3 = Point(g)
x1: x(P1)
x2: x(P2)
x3: x(P3)
f0(x) = If[x < x1, g(x)]
f1(x) = If[x1 ≤ x < x2, g(x)]
f2(x) = If[x2 ≤ x < x3, g(x)]
g1(x) = g'(x)
gl1: x = x1
gl2: x = x2
gl3: x = x3
a = false
f3(x) = If[x3 ≤ x, g(x)]