# Thread: Hyperbolic Function Derivative Proof

1. ## Hyperbolic Function Derivative Proof

Prove the formulas given in the table for the derivatives of the functions

a) cosh
b) tanh
c) csch
d) sech

So the table the problem is referring to has all the definitions of the hyperbolic functions, but how do I prove the formulas for the derivatives? I'm not understanding the question, do I need to find the derivative of the hyperbolic function? If so, how do I do that?

2. Use the definitions! $\cosh x = \frac{e^x+e^{-x}}{2}$ and $\sinh x = \frac{e^x-e^{-x}}{2}$. Do you know how to differentiate functions?