# Question #68962

##### 1 Answer

Okay, this one is officially tedious (see explanation)

#### Explanation:

We can use the rule for finding the derivative of the product of 2 functions:

So for the first derivative, we'll let

and

put all this together, and you get:

and to be fastidious, you can factor out term

making your first derivative:

Now the tedious part - the second derivative. Once more, use the rule for the product of 2 functions. This time, we let

Note that we just calculated

Put all these together, and we have:

...which is your answer, but we need to multiply out, collect terms, and simplify to the extent that we can:

...since we live in 2017, we can double check this with Wolfram Alpha (a task I recommend to you). It looks like it agrees, so we're done. If you need me, I'll be in the lounge.

GOOD LUCK