x( M )

y( M )

1

1

y

x

f(x) = exp(x)
A = (0, 1)
A2 = 0.2
B2 = 1.2214027581601699
A3 = 0.1
B3 = 1.1051709180756477
A4 = 0
B4 = 1
A5 = -0.1
B5 = 0.9048374180359595
A6 = -0.2
B6 = 0.8187307530779818
A7 = -0.3
B7 = 0.7408182206817179
A8 = -0.4
B8 = 0.6703200460356393
A9 = -0.5
B9 = 0.6065306597126334
A10 = -0.6
B10 = 0.5488116360940265
A11 = -0.7
B11 = 0.4965853037914095
A12 = -0.8
B12 = 0.44932896411722156
A13 = -0.9
B13 = 0.4065696597405991
A14 = -1
B14 = 0.36787944117144233
A15 = -0.9
B15 = 0.4065696597405991
A16 = -0.8
B16 = 0.44932896411722156
A17 = -0.7
B17 = 0.4965853037914095
A18 = -0.6
B18 = 0.5488116360940265
A19 = -0.5
B19 = 0.6065306597126334
A20 = -0.4
B20 = 0.6703200460356393
A21 = -0.3
B21 = 0.7408182206817179
A22 = -0.2
B22 = 0.8187307530779818
A23 = -0.1
B23 = 0.9048374180359595
A24 = 0
B24 = 1
A25 = 0.1
B25 = 1.1051709180756477
A26 = 0.2
B26 = 1.2214027581601699
A27 = 0.3
B27 = 1.3498588075760032
A28 = 0.4
B28 = 1.4918246976412703
A29 = 0.5
B29 = 1.6487212707001282
A30 = 0.6
B30 = 1.8221188003905089
A31 = 0.7
B31 = 2.0137527074704766
A32 = 0.8
B32 = 2.225540928492468
A33 = 0.9
B33 = 2.45960311115695
m = -0.9 (slider from -1 to 1, step 0.1)
M: (m, f(m))
b = Line(A, M)
a_1 = Slope(b)
a_2 = Slope(b)
a_3 = Slope(b)
C2: (B2 - 1) / A2
D2: (C2 - 1) / B2
C3: (B3 - 1) / A3
C4: (B4 - 1) / A4
C5: (B5 - 1) / A5
C6: (B6 - 1) / A6
C7: (B7 - 1) / A7
C8: (B8 - 1) / A8
C9: (B9 - 1) / A9
C10: (B10 - 1) / A10
C11: (B11 - 1) / A11
C12: (B12 - 1) / A12
C13: (B13 - 1) / A13
C14: (B14 - 1) / A14
C15: (B15 - 1) / A15
C16: (B16 - 1) / A16
C17: (B17 - 1) / A17
C18: (B18 - 1) / A18
C19: (B19 - 1) / A19
C20: (B20 - 1) / A20
O = Intersect(yAxis, xAxis)
B = Point(xAxis)
u = Vector(O, B)
C = Point(yAxis)
v = Vector(O, C)
c = Tangent(A, f)