Question

Simplify the function f(t) = sinh(ln(t)). Then, find the derivative of your simplified form of f(t).

Answer 1

sinh (x) = [1/2] (e^x - e^-x)

sinh[ln(t)] = [1/2] (e^ln(t) - e^-ln(t)] = [1/2] (t - 1/t]

sinh[ln(t)] ' = [1/2] (1 + 1/ t^2 )