How do you find the derivative of #W(u)=e^(u^2)*tan(3sqrtu)#?
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
Looking at the product rule, we need four things:
We already have
This is where it gets annoying.
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?