'x

'y

h(x) = (8074249 * 1.035^(x))
h' = Derivative(h)
Differentialquotient: h'(42)
A2: 1
A3: 2
A4 = 3
A5 = 4
A6 = 5
A7 = 6
A8 = 7
A9 = 8
A10 = 9
A11 = 10
A12 = 11
A13 = 12
A14 = 13
A15 = 14
A16 = 15
A17 = 16
A18 = 17
A19 = 18
A20 = 19
A21 = 20
A22 = 21
A23 = 22
A24 = 23
A25 = 24
A26 = 25
A27 = 26
A28 = 27
A29 = 28
A30 = 29
A31 = 30
A32 = 31
A33 = 32
A34 = 33
A35 = 34
A36 = 35
A37 = 36
A38 = 37
A39 = 38
A40 = 39
A41 = 40
B2: 8640000
B3: 8640000
B4: 8950000
B5: 9280000
B6: 9610000
B7: 9960000
B8: 10320000
B9: 10690000
B10: 11070000
B11: 11450000
B12: 11850000
B13: 12250000
B14: 12660000
B15: 13080000
B16: 13500000
B17: 13950000
B18: 14400000
B19: 14870000
B20: 15360000
B21: 15870000
B22: 16400000
B23: 16950000
B24: 17520000
B25: 18120000
B26: 18760000
B27: 19430000
B28: 20150000
B29: 20910000
B30: 21700000
B31: 22510000
B32: 23360000
B33: 24220000
B34: 25110000
B35: 26020000
B36: 26940000
B37: 28130000
B38: 29150000
B39: 30210000
B40: 31270000
B41: 32350000
B42: 33430000
B43: 34500000
A42: 41
A43: 42
A = Point({Differentialquotient, h(Differentialquotient)})
B: (A3, B3)
C: (A4, B4)
D: (A5, B5)
E: (A6, B6)
F: (A7, B7)
G: (A8, B8)
H: (A9, B9)
I: (A10, B10)
J: (A11, B11)
K: (A12, B12)
L: (A13, B13)
M: (A14, B14)
N: (A15, B15)
O: (A16, B16)
P: (A17, B17)
Q: (A18, B18)
R: (A19, B19)
S: (A20, B20)
T: (A21, B21)
U: (A22, B22)
V: (A23, B23)
W: (A24, B24)
Z: (A25, B25)
A_1: (A26, B26)
B_1: (A27, B27)
C_1: (A28, B28)
D_1: (A29, B29)
E_1: (A30, B30)
F_1: (A31, B31)
G_1: (A32, B32)
H_1: (A33, B33)
I_1: (A34, B34)
J_1: (A35, B35)
K_1: (A36, B36)
L_1: (A37, B37)
M_1: (A38, B38)
N_1: (A39, B39)
O_1: (A40, B40)
P_1: (A41, B41)
Q_1: (A42, B42)
R_1: (A43, B43)
f = PolyLine({A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1})
S_1: (A2, B2)
T_1: (A3, B3)
U_1: (A4, B4)
V_1: (A5, B5)
W_1: (A6, B6)
Z_1: (A7, B7)
A_2: (A8, B8)
B_2: (A9, B9)
C_2: (A10, B10)
D_2: (A11, B11)
E_2: (A12, B12)
F_2: (A13, B13)
G_2: (A14, B14)
H_2: (A15, B15)
I_2: (A16, B16)
J_2: (A17, B17)
K_2: (A18, B18)
L_2: (A19, B19)
M_2: (A20, B20)
N_2: (A21, B21)
O_2: (A22, B22)
P_2: (A23, B23)
Q_2: (A24, B24)
R_2: (A25, B25)
S_2: (A26, B26)
T_2: (A27, B27)
U_2: (A28, B28)
V_2: (A29, B29)
W_2: (A30, B30)
Z_2: (A31, B31)
A_3: (A32, B32)
B_3: (A33, B33)
C_3: (A34, B34)
D_3: (A35, B35)
E_3: (A36, B36)
F_3: (A37, B37)
G_3: (A38, B38)
H_3: (A39, B39)
I_3: (A40, B40)
J_3: (A41, B41)
K_3: (A42, B42)
L_3: (A43, B43)
g = PolyLine({S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2, W_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, L_3})
i = Tangent(42, h)
b = Slope(i)
N_3 = (42.02272591787901, 3.4238138315889366E7)
R_3 = Point(i)
ResidualPlot({(1, 8640000), (2, 8640000), (3, 8950000), (4, 9280000), (5, 9610000), (6, 9960000), (7, 10320000), (8, 10690000), (9, 11070000), (10, 11450000), (11, 11850000), (12, 12250000), (13, 12660000), (14, 13080000), (15, 13500000), (16, 13950000), (17, 14400000), (18, 14870000), (19, 15360000), (20, 15870000), (21, 16400000), (22, 16950000), (23, 17520000), (24, 18120000), (25, 18760000), (26, 19430000), (27, 20150000), (28, 20910000), (29, 21700000), (30, 22510000), (31, 23360000), (32, 24220000), (33, 25110000), (34, 26020000), (35, 26940000), (36, 28130000), (37, 29150000), (38, 30210000), (39, 31270000), (40, 32350000), (41, 33430000), (42, 34500000)}, FitGrowth[{(1, 8640000), (2, 8640000), (3, 8950000), (4, 9280000), (5, 9610000), (6, 9960000), (7, 10320000), (8, 10690000), (9, 11070000), (10, 11450000), (11, 11850000), (12, 12250000), (13, 12660000), (14, 13080000), (15, 13500000), (16, 13950000), (17, 14400000), (18, 14870000), (19, 15360000), (20, 15870000), (21, 16400000), (22, 16950000), (23, 17520000), (24, 18120000), (25, 18760000), (26, 19430000), (27, 20150000), (28, 20910000), (29, 21700000), (30, 22510000), (31, 23360000), (32, 24220000), (33, 25110000), (34, 26020000), (35, 26940000), (36, 28130000), (37, 29150000), (38, 30210000), (39, 31270000), (40, 32350000), (41, 33430000), (42, 34500000)}])