CONCAVE

CONVEXE

POINT D'INFLEXION en x=2

f(x) = x^(3) - (6 * x^(2)) + 1
a = -1 (slider from -7 to 7, step 0.05)
M: (a, f(a))
T = Tangent(M, f)
g = Derivative(f, 2)
h = Derivative(f, 1)
k(x) = (h(a) * (x - a)) + f(a)
c(x, y) = y - k(x) > 0
d(x, y) = k(x) - y > 0