1. Is my 'chain rule' answer correct?

Hey everyone,

I was using the product rule to fine the derivative of a problem in my textbook:
f(x) = sqr root(2+sinx)

The book answer is: (cosx) / 2 * sqr root(2+sinx)

Thanks!

2. Originally Posted by asuastrophysics
Hey everyone,

I was using the product rule to fine the derivative of a problem in my textbook:
f(x) = sqr root(2+sinx)

The book answer is: (cosx) / 2 * sqr root(2+sinx)

...

3. The reason there's a negative sign there is because (from what I know, which isn't much)

The derivative of sinx is -cosx

wait...or is it???
the derivative of cosx is -sinx. maybe I mixed that up.

The derivative of sinx is just cosx

If you ignore that small fault, does my answer say the same thing the book answer says?

Thanks for the fast response btw

4. get rid of that negative sign, simplify, and see for yourself.