Rate of Change of X^2
Author: John Maharry

FInd the derivative of y=x².

Change of Area = (A+h)²-(A)²= (2Ah) + h²

Change of Area per Foot =  2A + h

As 'h' goes to zero, Rate of Change = 2A

A_1 = Intersect(xAxis, yAxis)
I = Point(xAxis)
B = Point(xAxis)
C: (0.0, x(B))
D: (x(B), x(B))
F: (x(B), x(I))
G: (x(I), x(I))
H: (x(I), x(B))
P, c, A_3, A, a = Polygon(C, D, B, A_1)
E: (0.0, x(I))
Q, e, f, d_1, c_1 = Polygon(E, F, D, C)
R, d_2, h_2, h, b_1 = Polygon(D, H, I, B)
S, f_1, g, h_1, d_3 = Polygon(F, G, H, D)
T2: "Area Big Square = " + (a^(2.0))
T3: "Area of Small Square =" + ((a + h)^(2.0))
T4: "Change in Area Per Unit 'h' = " + (2.0 * A + h)