x x x
cosh(x)*e + e *sinh(x) 2*e *sinh(x)*sinh(x - 1)
----------------------- - ------------------------
2 3
cosh (x - 1) cosh (x - 1)
$$\frac{e^{x} \sinh{\left(x \right)} + e^{x} \cosh{\left(x \right)}}{\cosh^{2}{\left(x - 1 \right)}} - \frac{2 e^{x} \sinh{\left(x \right)} \sinh{\left(x - 1 \right)}}{\cosh^{3}{\left(x - 1 \right)}}$$
// 2 \ \
|| 3*sinh (-1 + x)| 2*(cosh(x) + sinh(x))*sinh(-1 + x) | x
2*||-1 + ---------------|*sinh(x) - ---------------------------------- + cosh(x) + sinh(x)|*e
|| 2 | cosh(-1 + x) |
\\ cosh (-1 + x) / /
----------------------------------------------------------------------------------------------
2
cosh (-1 + x)
$$\frac{2 \left(\left(\frac{3 \sinh^{2}{\left(x - 1 \right)}}{\cosh^{2}{\left(x - 1 \right)}} - 1\right) \sinh{\left(x \right)} - \frac{2 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x - 1 \right)}}{\cosh{\left(x - 1 \right)}} + \sinh{\left(x \right)} + \cosh{\left(x \right)}\right) e^{x}}{\cosh^{2}{\left(x - 1 \right)}}$$
/ / 2 \ \
| | 3*sinh (-1 + x)| |
| 4*|-2 + ---------------|*sinh(x)*sinh(-1 + x)|
| / 2 \ | 2 | |
| | 3*sinh (-1 + x)| 6*(cosh(x) + sinh(x))*sinh(-1 + x) \ cosh (-1 + x) / | x
2*|2*cosh(x) + 2*sinh(x) + 3*|-1 + ---------------|*(cosh(x) + sinh(x)) - ---------------------------------- - ---------------------------------------------|*e
| | 2 | cosh(-1 + x) cosh(-1 + x) |
\ \ cosh (-1 + x) / /
----------------------------------------------------------------------------------------------------------------------------------------------------------------
2
cosh (-1 + x)
$$\frac{2 \left(- \frac{4 \left(\frac{3 \sinh^{2}{\left(x - 1 \right)}}{\cosh^{2}{\left(x - 1 \right)}} - 2\right) \sinh{\left(x \right)} \sinh{\left(x - 1 \right)}}{\cosh{\left(x - 1 \right)}} + 3 \left(\frac{3 \sinh^{2}{\left(x - 1 \right)}}{\cosh^{2}{\left(x - 1 \right)}} - 1\right) \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) - \frac{6 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x - 1 \right)}}{\cosh{\left(x - 1 \right)}} + 2 \sinh{\left(x \right)} + 2 \cosh{\left(x \right)}\right) e^{x}}{\cosh^{2}{\left(x - 1 \right)}}$$