kindly read it correctly and do it correctly.. thanks asap

Consider f(x) = In(a - -I) for the appropriate domain of , where a is the last digit in your student number which is not 0 and not 1. Write down the function f for your value of a and work with this function further on in this question. (a) Calculate f'(x), f"(x) and f"(x) by hand, showing all working. If the pattern of the derivatives is clear then, write down the formula for the n-th derivative (written f(")(x)) as a function of n and a. If you need to calculate more derivatives to see the pattern, then do so. (b) Evaluate the derivatives you found in (a) at a = 0 and write down the n-th order Taylor polynomial, by writing down the first 4 terms, then + .. . + and then the nth term. The coefficients of Taylor polynomial must be written in the exact form, i.e. in terms of logs, fractions, powers, factorials, as necessary. (c) The Taylor polynomial for In(1 + ) around zero is given by (T,)(x) = 2 - -23 + }x3+... -(-1)" _x" for |x]