What would the f'(x)=(10uv) if u=5,v=2, u'x=-3,v'x=6 ?

Question

zepdrix · Answer

Hmm you wrote that a little silly :)
Did you mean to write:

f(x)=(10uv)
find f'(x) given the initial conditions.

anonymous · Answer

Yes, sorry, didn't realize it was confusing u!

zepdrix · Answer

Hmm so for this problem, you need to remember the product rule! ^^
Remember the setup? :D

anonymous · Answer

Yes, that is were I have the question, do  I multiply  uv and then do the product rule again with the 10?

zepdrix · Answer

Yes, either factor out the 10 at the beginning, or multiply it by both terms you get from product rule.

zepdrix · Answer

It might just be easier to attach it to one of the terms, so it doesn't confuse you to much.
Like split them up like this
(10u)(v)  <-- product rule them now :D

zepdrix · Answer

$$[(10u)(v)]'=(10u)'v+(10u)v'$$

anonymous · Answer

That make is so less confusing thanks!

zepdrix · Answer

Yay team \:D/

zepdrix · Answer

The only thing that might be a little confusing after that, is that you need to remember that a constant can be factored out when taking a derivative. So...$$[10u]'=10[u]'=10u'$$
Just thought I'd mention that, in case :D