Consider the following function f(x) = 8e#* + 7x + 5x3 . (x-2)2+4x+41 Find the derivative of this function, collect terms, and express the derivative as df ( x) = a . e* + c . Inx + d . x +e . x*+g . x th . x- + j . x+k dx Find the value of the coefficients a through k. (For terms shown above that do not appear in the answer, the corresponding coefficient is, of course, zero.) The coefficient a is 0 X The coefficient b is 0 X The coefficient c is 0 The coefficient d is 42 The coefficient e is 0 X The coefficient g is X The coefficient h is 15 X The coefficient j is 0 The coefficient k is 0 X