Complete these practice problems from the previous sections and upload your written work here: In this problem we will investigate the 4th degree Taylor polynomial of f(x)=e^(x)sin(x) centered at x=0.(a) First, compute the 4 th degree Taylor polynomial of f(x) centered at 0 directly by computing the first four derivatives of f(x).(b) The function f(x) is a product of two functions, e^(x) and sin(x), whose Taylor polynomials we have already calculated to various degrees in Sections 8.1 and 8.2. What are the degree 4 Taylor polynomials of e^(x) and sin(x) centered at 0?(c) Multiply the degree 4 Taylor polynomials centered at 0 of e^(x) and sin(x) together. What do you notice about the terms in this resulting polynomial compared to your answer in part (a)?(d) Assuming the connection you found in part (c) holds in general (it does), summarize an alternate way to calculate Taylor polynomials of products of two functions.