If you're new to this, I would approach it this way.

We have

Let and

We see that and to find , apply the chain rule.

Note that the chain rule is .

So we see that

Now substitute into the equation for the product rule:

If , then

Can you take it from here?

I don't see anything wrong with your answer. Make sure you copied down the problem correctly...otherwise, I'd have to say the book's answer is wrong.2. secx^2

I always get the wrong answer everytime and can't figure it out..

h'(x)= secxtanx X 2(secx)

= 2sec^2xtanx

The answer shows up as 2xsecx^2tanx^2

help!! I need help understanding the chain rule and I got no idea how to do problems like these!!

--Chris