calc-013-derivada-concepto-tangente

espacio

Epsiclas

a

a+h

f(a)

f(a+h)

$ m=\frac{f(a+h)-f(a)}{h} $

$ f'(a)=\lim_{ h \to 0 }\frac{f(a+h)-f(a)}{h} $

Pendiente de la secante AB:

Pendiente de la tangente en A:

h = 3 (slider from 0 to 3, step 0.01)
f(x) = x^(2) / 7 + 1
A_0 = Point(xAxis)
B_0: (x(A_0) + h, y(A_0))
a = OrthogonalLine(A_0, xAxis)
b = OrthogonalLine(B_0, xAxis)
A = Intersect(f, a, 1)
B = Intersect(f, b, 1)
c = Line(A, B)
d = OrthogonalLine(A, yAxis)
e = OrthogonalLine(B, yAxis)
C = Intersect(d, yAxis)
D = Intersect(yAxis, e)
E = Intersect(b, d)
g = Segment(A, E)
i = Segment(E, B)
l = Tangent(A, f)
k = If(h ≟ 0, true, false)
j = If(h ≟ 0, false, true)