SOLUTION: a) Prove the identity: cosh x - sinh x = e^-x b) Find the derivative of f(t) = csch t(1 - ln csch t)

Algebra ->  Proofs -> SOLUTION: a) Prove the identity: cosh x - sinh x = e^-x b) Find the derivative of f(t) = csch t(1 - ln csch t)      Log On


   

Question 911871: a)
Prove the identity: cosh x - sinh x = e^-x
b)
Find the derivative of f(t) = csch t(1 - ln csch t)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
b) f(t) = csch t - (csch t )ln csch t
f' = -(csch t)(coth t) - [(-csch t)(coth t))(ln csch t) + csch t((-csch t)(coth t)/csch t]
Let You finish it Up