# How do you find the derivative of #W(u)=e^(u^2)*tan(3sqrtu)#?

##### 1 Answer

#### Answer:

#### Explanation:

The answer is, it is very annoying.

The formula for product rule is

which seems simple enough.

Since there are clearly two terms in your function, lets set one equal to

Our first dilema is that

So now,

and

Looking at the product rule, we need four things:

We already have

This is where it gets annoying.

so

so

If you need further explanation of how I got these, let me know.

Now we just plug these variables into the formula.

Simplify it to get

See, wasn't that annoying?