calc-001-monotonía-curvatura
Author: Epsiclas - Alberto Rodríguez Santos

a

(a,f(a))

(a,f'(a))

Tangente y valor derivada primera

Valor derivada segunda

Crecimiento (f '(x)>0)

Convexidad (f ''(x)>0)

(a,f''(a))

Gráfica derivada segunda

Eje X

Gráfica derivada primera

f(x) = (0.5 * ((x / 3)^(3) - (4 * (x / 3)^(2)) + x / 3)) + 1.91
A = Point(xAxis)
a = OrthogonalLine(A, xAxis)
B = Intersect(f, a, 1)
b = Tangent(B, f)
m = Slope(b)
D: (x(A), f'(x(A)))
c = false
d = false
n: f''(x(A))
texto2: "f''(x)=" + (LaTeX[n]) + ""
texto1: "f'(x) = " + (LaTeX[m]) + ""
g(x) = f'(x)
e(x) = f'(x) > 0
h = false
i(x) = f''(x) > 0
j = false
k(x) = f''(x)
E: (x(A), f''(x(A)))
l = false
o = false