Without a computer algebra system use differentiation rules

Question

(a) Use a computer algebra system to find and simplify the derivative of the given function.

(b) Without a computer algebra system, use differentiation rules to calculate the derivative. Make sure that the answer simplifies to the same answer as in part (a).

(c) Explain how you could have predicted the derivative by using algebra before taking the derivative.

h(t) = ln(1 - 1/t) + ln(t/(t - 1))