I Request for specific derivative data

[m4r35n357]

I am writing some automatic differentiation routines for Taylor series, and would like to verify my results for the value and first six derivatives of $sinh$ and $cosh$ evaluated at $\pi /3$, and also $tanh$, and $sec^2$, evaluated at $\pi / 4$.

I have attempted to use this site to check (amongst other methods), but for the functions listed above (I have already verified arithmetic and the simpler functions myself) it cannot cope! Here are my results:

sinh: 1.249367  1.600287  1.249367  1.600287  1.249367  1.600287  1.249367

cosh: 1.600287  1.249367  1.600287  1.249367  1.600287  1.249367  1.600287

tanh: 0.655794  0.569934 -0.747519  0.330788  2.122361 -7.644586  2.875892

sech^2: 0.569934 -0.747519  0.330788  2.122361 -7.644586  2.875892 93.917658

Does anyone have access to a system that can generate this data?

 

[mfb]

WolframAlpha can do that.
Analytic and as numeric answer.

 

[m4r35n357]

WolframAlpha can do that.
Analytic and as numeric answer.

Thanks for the tip, didn't know that was free! Looks like at least some of my answers are good, still checking . . .
[EDIT] Wow. Looks like they are all correct!