(i) Using the product and chain rules, differentiate the function f(x) = 2x3cos(ex + x2 + 5)
with respect to x.
(ii) Hence, find the Taylor polynomial P1(x) of the function f(x) about the point a = 1 and also find a Cartesian equation in R2 for the tangent line to the graph of f at the point (1, 2cos(e + 6)).