Author: benny varghese

f (x+Δ_x)

f(x)

x

x+Δ_x

a bentech presentation

Δ_y≈d_y

Δ_x=d_x

Example

Theory

Approximation
(a bentech presentation)

f(x) = (x + 0.003668033089353928)^(2) + 0.49633196691064607
C_1 = Point(xAxis)
χ_2 = Point(xAxis)
c = Line(χ_2, yAxis)
D = Intersect(f, c, 1)
d = Segment(D, χ_2)
A = Point(f)
a_1 = OrthogonalLine(A, xAxis)
b = OrthogonalLine(A, a_1)
f_χ = Intersect(b, yAxis)
e = Segment(f_χ, A)
B = Intersect(d, b)
i = OrthogonalLine(D, yAxis)
j = Tangent(A, f)
C = Intersect(d, j)
k = OrthogonalLine(C, yAxis)
I = Intersect(i, yAxis)
J = Intersect(k, yAxis)
l = Segment(I, D)
m = Segment(C, J)
d_y = Segment(C, B)
d_x = Segment(A, B)
p = Segment(D, C)
q = Segment(B, χ_2)
χ = Intersect(a_1, xAxis)
g = Segment(A, χ)
Δ_x = Segment(χ, χ_2)
Δ_y = Segment(D, B)
a = false
h = true