calc-014-3-monotonia

Crecimiento

Concavidad

Convexidad

Decrecimiento

Simetría par

Simetría impar

Extremos relativos

a = 0.1 (slider from -5 to 5)
b = -0.6 (slider from -5 to 5, step 0.1)
c = -5 (slider from -5 to 0, step 0.1)
d = 26.6 (slider from 8 to 35, step 0.1)
e = 52 (slider from 0 to 100, step 0.1)
h = false
f(x) = ((a * x^(4)) + (b * x^(3)) + (c * x^(2)) + (d * x) + e) / 20
g(x) = f'(x) > 0
j(x) = f'(x) < 0
i(x) = f''(x) > 0
k(x) = f''(x) < 0
l = false
m = false
n = false
s_p(x) = f((-x))
o = false
p = false
q: a ≟ 0
fd(x) = f'(x)
s_i(x) = ((-f((-x))) * s_p(x))
A = Intersect(fd, xAxis, 1)
B = Intersect(fd, xAxis, 2)
C = Intersect(fd, xAxis, 3)
t = OrthogonalLine(A, xAxis)
a_1 = OrthogonalLine(B, xAxis)
b_1 = OrthogonalLine(C, xAxis)
D = Intersect(f, t, 1)
E = Intersect(f, a_1, 1)
F = Intersect(f, b_1, 1)
c_1 = Segment(A, D)
d_1 = Segment(E, B)
e_1 = Segment(C, F)
r = false
xa: x(A)
xb: x(B)
xc: x(C)
texto1: "Crecimiento: (" + (LaTeX[xa]) + "," + (LaTeX[xb]) + ")∪(" + (LaTeX[xc]) + ",∞)"
texto2: "Decrecimiento: (-∞," + (LaTeX[xa]) + ")∪(" + (LaTeX[xb]) + "," + (LaTeX[xc]) + ")"
texto3: "Máximo\ relativo: x=" + (LaTeX[xb]) + "\\
Mínimos\ relativos: x=" + (LaTeX[xa]) + "; \ " + (LaTeX[xc]) + " "