Let g(x)=(cosh(36x)-sinh(36x))^(1/12)/(cosh(x/5)+sinh(x/5))^25
(i) Find g'(x). Express your answers in terms of a single exponential function e^(alpha)x, for some alpha.
(ii) Find the equation of the line tangent to y=g(x) at the point (0,1).
I have no idea how to do this derivative. Any help would help! Can someone lead me in the right direction?