Consider the function fx) - ex. a. Differentiate the Taylor series about 0 of f(x). b. Identify the function represented by the differentiated series. c. Give the interval of convergence of the power series for the derivative. a. Choose the correct answer below O A. 1+x. 21 41 6 b. The function represented by the differentiated series is C. The interval of convergence of the power series for the derivative is â¡ Simplify your answer. Type an inequality or a compound inequality. Type an expression using x as the variable,)