Please answer the following questions:

3. Solve for the derivative of the following functions: a. f(x) = ax3 - bx2 + cx-1 - dx-2 b. g(x) = a-x atvx4. Let f(x) = In(x). What is the DOMAIN of its derivative f' (x)? 5. What is the derivative of the "INVERSE FUNCTION" of the function f (x) = -? 2-x1. Find if possible: lim 2 *+0 1 +ex State your reasons why the limit exists or does not exist.2. Using the definition of the derivative and lim sin x X+0 X = 0, show that if f(x) = cos x, then its derivative is f'(x) = - sin x