Need some Implicit Differentiation help

[EvanB]

Hey all,

I have been working on this problem, but cant seem to figure it out. Its been some time since I did implicit diff, and I am struggling. Any idea how to solve:

x+tan(xy)=2

implicitly?

Thanks in advance everyone.

Evan

 

[KLin]

42?

Am I close?

 

[jagec]

Originally posted by: KLin
42?

Am I close?

depends on your units...

</engineer>

 

[EvanB]

Oh, of course, how could I have not seen that ..... 😉

 

[EvanB]

Come on, anyone?

 

[EvanB]

Noone can think of something to help?

 

[cirthix]

heh, i made a thread like this a few weeks back, i'll answer soon

 

[cirthix]

x+tan(xy)=2
1+sec^2(xy)(1y)(x(dy/dx))=0 <----look closely, chain rule strikes again! gasp, product rule too!
you can take it from there, i got other homework 🙁
<------- procrastinator

 

[EvanB]

Thank you. I'm thinking it requires the chain rule, but I don't recall how the chain rule and implicit differentiation work together.

 

[cirthix]

fog man, fog. just keep taking the derivative of the inside function untill you are at the innermost one

 

[EvanB]

Makes sense. So how sin^3(xy) work out? Chain rule 3 times?

Evan

 

[BRObedoza]

<--- 3rd year math major who still doesn't understand the chain rule and implicit differentiation

 

[EvanB]

Hehe, its not that bad now that I am getting back into it. Its annoying though.