/ 2 \ 3| cosh (x)| atan |log(cosh(x)) + --------| \ 2 /
atan(log(cosh(x)) + cosh(x)^2/2)^3
/ 2 \ 2| cosh (x)| /sinh(x) \ 3*atan |log(cosh(x)) + --------|*|------- + cosh(x)*sinh(x)| \ 2 / \cosh(x) / ------------------------------------------------------------ 2 / 2 \ | cosh (x)| 1 + |log(cosh(x)) + --------| \ 2 /
/ 2 2 / 2 \\ | / 1 \ 2 / 1 \ 2 / 2 \ |cosh (x) || |/ 2 \ / 2 \ 8*|------- + cosh(x)| *sinh (x) 4*|------- + cosh(x)| *sinh (x)*\cosh (x) + 2*log(cosh(x))/*atan|-------- + log(cosh(x))|| / 2 \ || 2 2 sinh (x)| |cosh (x) | \cosh(x) / \cosh(x) / \ 2 /| |cosh (x) | 12*||1 + cosh (x) + sinh (x) - --------|*atan|-------- + log(cosh(x))| + -------------------------------- - -----------------------------------------------------------------------------------------|*atan|-------- + log(cosh(x))| || 2 | \ 2 / 2 2 | \ 2 / |\ cosh (x)/ / 2 \ / 2 \ | \ 4 + \cosh (x) + 2*log(cosh(x))/ 4 + \cosh (x) + 2*log(cosh(x))/ / ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 2 / 2 \ 4 + \cosh (x) + 2*log(cosh(x))/
/ / 2 \ / 2 \ / 2 \ / 2 \ \ | 3 3 / 2 \ / 1 \ | 2 2 sinh (x)| |cosh (x) | 3 / 2 \ 2|cosh (x) | / 1 \ / 2 \ | 2 2 sinh (x)| 3 2 / 2 \ | | / 1 \ 2 / 1 \ 2|cosh (x) | 2 12*|------- + cosh(x)|*|1 + cosh (x) + sinh (x) - --------|*atan|-------- + log(cosh(x))| / 1 \ 2 / 2 \ |cosh (x) | 6*atan |-------- + log(cosh(x))|*|------- + cosh(x)|*\cosh (x) + 2*log(cosh(x))/*|1 + cosh (x) + sinh (x) - --------| / 1 \ / 2 \ 2|cosh (x) | 2 | | / 2 \ / 2 \ 16*|------- + cosh(x)| *sinh (x) 4*|------- + cosh(x)| *atan |-------- + log(cosh(x))|*sinh (x) \cosh(x) / | 2 | \ 2 / 48*|------- + cosh(x)| *sinh (x)*\cosh (x) + 2*log(cosh(x))/*atan|-------- + log(cosh(x))| \ 2 / \cosh(x) / | 2 | 16*|------- + cosh(x)| *\cosh (x) + 2*log(cosh(x))/ *atan |-------- + log(cosh(x))|*sinh (x)| | 2|cosh (x) | | 1 sinh (x)| \cosh(x) / \cosh(x) / \ 2 / \ cosh (x)/ \cosh(x) / \ 2 / \ cosh (x)/ \cosh(x) / \ 2 / | 24*|atan |-------- + log(cosh(x))|*|- ------- + 2*cosh(x) + --------| + ----------------------------------- - -------------------------------------------------------------- + ----------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------|*sinh(x) | \ 2 / | cosh(x) 3 | 2 2 2 2 2 2 | | \ cosh (x)/ / 2\ / 2 \ / 2 \ / 2\ / 2 \ / 2\ | | | / 2 \ | 4 + \cosh (x) + 2*log(cosh(x))/ 4 + \cosh (x) + 2*log(cosh(x))/ | / 2 \ | 4 + \cosh (x) + 2*log(cosh(x))/ | / 2 \ | | \ \4 + \cosh (x) + 2*log(cosh(x))/ / \4 + \cosh (x) + 2*log(cosh(x))/ / \4 + \cosh (x) + 2*log(cosh(x))/ / / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 / 2 \ 4 + \cosh (x) + 2*log(cosh(x))/