Fun+ders

Valor en 0

Factoriales

Potencias

Monomios

Serie

hmac(x) = x + x^(3) / 3! + x^(5) / 5! + x^(7) / 7! + x^(9) / 9! + x^(11) / 11!
S = 25.3 (slider from 1 to 50, step 0.1)
s2: S / 2
L = 50.0001 (slider from 0 to 100, step 0.01)
ecuLaS:=L = ((2 * x) * hmac(S / ((2 * x))))
sols = Solutions(ecuLaS)
a: sols(2)
c: (a * cosh((S / 2 - 0.001) / a))
B2(x) = (ℯ^(x) + ℯ^((-x))) / 2
C2: B2(0)
B3 = Derivative(B2)
C3: B3(0)
B4 = Derivative(B3)
B5 = Derivative(B4)
B6 = Derivative(B5)
B7 = Derivative(B6)
B8 = Derivative(B7)
C4: B4(0)
C5: B5(0)
C6: B6(0)
C7: B7(0)
C8: B8(0)
B9 = Derivative(B8)
B10 = Derivative(B9)
B11 = Derivative(B10)
C9: B9(0)
C10: B10(0)
C11: B11(0)
A3: 1
B12 = Derivative(B11)
C12: B12(0)
B13 = Derivative(B12)
C13: B13(0)
A4: A3 + 1
A5: A4 + 1
A6: A5 + 1
A7: A6 + 1
A8: A7 + 1
A9: A8 + 1
A10: A9 + 1
A11: A10 + 1
A12: A11 + 1
A13: A12 + 1
A2: 0
D2: A2!
D3: A3!
D4: A4!
D5: A5!
D6: A6!
D7: A7!
D8: A8!
D9: A9!
D10: A10!
D11: A11!
D12: A12!
D13: A13!
E3(x) = x^(A3)
E4(x) = x^(A4)
E5(x) = x^(A5)
E6(x) = x^(A6)
E7(x) = x^(A7)
E8(x) = x^(A8)
E9(x) = x^(A9)
E10(x) = x^(A10)
E11(x) = x^(A11)
E12(x) = x^(A12)
E13(x) = x^(A13)
E2(x) = x^(A2)
F2(x) = (C2 * E2(x) / D2)
F3(x) = (C3 * E3(x) / D3)
F4(x) = (C4 * E4(x) / D4)
F5(x) = (C5 * E5(x) / D5)
F6(x) = (C6 * E6(x) / D6)
F7(x) = (C7 * E7(x) / D7)
F8(x) = (C8 * E8(x) / D8)
F9(x) = (C9 * E9(x) / D9)
F10(x) = (C10 * E10(x) / D10)
F11(x) = (C11 * E11(x) / D11)
F12(x) = (C12 * E12(x) / D12)
F13(x) = (C13 * E13(x) / D13)
H2 = Sum(F2:F6)
h(x) = sinh(x)
cat(x) = If[(-s2) < x < s2, (a * cosh(x / a)) - c]
A: (S / 2, 0)
B: (((-S)) / 2, 0)
texto2: "y=" + (LaTeX[cat]) + ""