Question 1203615
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Formally speaking, to solve such problem successfully, you need to know pre-requisites.
The pre-requisites are:

    (a) knowing what a derivative is, in general;

    (b) knowing derivatives of table functions;

    (c) knowing the rule of taking derivative for a product of two functions

            ((f(x)*(g(x))' = f'(x)*g(x) + f(x)*g'(x)

        and for a product of three functions

            (f(x)*g(x)*h(x))' = f'(x)*g(x)*h(x) + f(x)*g'(x)*h(x) + f(x)*g(x)*h'(x).


Formally, that is all.


But, to be honest, in addition to it, you should have another pre-requisite,
which is the developed technique of solving more simple problems.


To develop such a technique, solve  a series of more simple problems,
listed below.  Take the derivatives of these functions

    (a)  {{{(3x-12)*e^x}}};

    (b)  {{{5x^4-sqrt(x)}}};

    (c)  {{{(5x^4-sqrt(x))*e^x}}}.


As soon as you complete these problems, you will be ready to work on your
problem in the post.  Then it will be not so difficult exercise for you.
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