Thread: Prove that |sinh y - sinh x| ≤ (cosh a)|y - x|

Let a > 0.
Let x ϵ (0,a) and y ϵ (0,a).
Use the fact that cosh is a primitive of sinh to prove that
|sinh y - sinh x| ≤ (cosh a)|y - x|

Thanks very much for any help.

Use the mean value on on the interval .
Note that if .