x x 2 x
cosh(x)*e + e *sinh(x) sinh (x)*e
----------------------- - -----------
cosh(x) 2
cosh (x)
$$\frac{e^{x} \sinh{\left(x \right)} + e^{x} \cosh{\left(x \right)}}{\cosh{\left(x \right)}} - \frac{e^{x} \sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}}$$
/ 2 3 \
| sinh (x) 2*sinh (x) (cosh(x) + sinh(x))*sinh(x)| x
|2*cosh(x) - -------- + ---------- - ---------------------------|*e
| cosh(x) 2 cosh(x) |
\ cosh (x) /
--------------------------------------------------------------------
cosh(x)
$$\frac{\left(- \frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x \right)}}{\cosh{\left(x \right)}} + \frac{2 \sinh^{3}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} - \frac{\sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)}} + 2 \cosh{\left(x \right)}\right) e^{x}}{\cosh{\left(x \right)}}$$
/ 4 3 2 2 \
| 6*sinh (x) 4*sinh(x) 3*(cosh(x) + sinh(x)) 4*sinh (x) 7*sinh (x) 4*(cosh(x) + sinh(x))*sinh(x) 2*sinh (x)*(cosh(x) + sinh(x))| x
|-2 - ---------- - --------- + --------------------- + ---------- + ---------- - ----------------------------- + ------------------------------|*e
| 4 cosh(x) cosh(x) 3 2 2 3 |
\ cosh (x) cosh (x) cosh (x) cosh (x) cosh (x) /
$$\left(\frac{2 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh^{2}{\left(x \right)}}{\cosh^{3}{\left(x \right)}} - \frac{4 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sinh{\left(x \right)}}{\cosh^{2}{\left(x \right)}} + \frac{3 \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right)}{\cosh{\left(x \right)}} - \frac{6 \sinh^{4}{\left(x \right)}}{\cosh^{4}{\left(x \right)}} + \frac{4 \sinh^{3}{\left(x \right)}}{\cosh^{3}{\left(x \right)}} + \frac{7 \sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} - \frac{4 \sinh{\left(x \right)}}{\cosh{\left(x \right)}} - 2\right) e^{x}$$