If(a-bcos(y))(a+bcos(x))=a^(2)-b^(2),show that (dy)/(dx)=(√(a^(2)+b^(2)))/(a+bcos(x))?

Question

primeralph · Answer

product rule.

loser66 · Answer

@e.mccormick what is it?

loser66 · Answer

if you say so, ok, show me steps. I have no idea to come up with the problem.

loser66 · Answer

come here friend, we do it.

loser66 · Answer

got it, i got until
$$y'= \frac{absinx -b^2cosy}{absiny+abcosx}$$

loser66 · Answer

give me more time, still not get the answer yet. still not see the link . haizzz

loser66 · Answer

no, i find out multiply everything is much more easier than our stuff... hahaha.
redo, friend,

loser66 · Answer

LHS = $$a^2 +abcosx-abcosy-b^2cosycosx= cosy(-ab-b^2cosx)+a^2+abcosx$$
from this I can isolate y , right?
the whole thing = a^2 + b^2 
Isolate cosy and then take implicit derivative, yeah...

loser66 · Answer

no ok? you think so? :( , let me try.

loser66 · Answer

I hand off, too tired. friend, I give up.... too long. and no outlet. hehe. I don't have your patience