A community for students.
Here's the question you clicked on:
 0 viewing
1018
 one year ago
find y' : y = sin (x+y) ( i have the answer but i need the solution thanks)
1018
 one year ago
find y' : y = sin (x+y) ( i have the answer but i need the solution thanks)

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Implicit differentiation\[y = \sin \left( x + y \right)\]Differentiate both side wrt \(x\)\[\frac{ dy }{ dx } = \frac{ d }{ dx } \sin \left( x+y \right)\]Chain rule\[\frac{ dy }{ dx } = \cos \left( x + y \right) \left( 1 + \frac{ dy }{ dx } \right)\]Expand right hand side and solve for \(\frac{dy}{dx}\)

1018
 one year ago
Best ResponseYou've already chosen the best response.0damn chain rule! thanks. hey can you show me how you would expand the right hand side? i was told i need to put all the dy/dx on one side etc etc. may you show me how would you do it thanks

1018
 one year ago
Best ResponseYou've already chosen the best response.0and i have another question if you dont mind. haha. but it can be for later. haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sure. \[\frac{ dy }{ dx } = \cos(x + y)\left( 1 + \frac{ dy }{ dx } \right)\]\[\frac{ dy }{ dx } = \cos \left( x + y \right) + \frac{ dy }{ dx }\cos \left( x + y \right)\]\[\frac{ dy }{ dx }  \frac{ dy }{ dx }\cos \left( x + y \right) = \cos \left( x + y \right)\]\[\frac{ dy }{ dx }\left( 1\cos \left( x+y \right) \right) = \cos \left( x + y \right)\]Can you take it from here?

1018
 one year ago
Best ResponseYou've already chosen the best response.0ooh! yes yes thanks i see it now. wait i have to ask, can i, in a way, 'adjust' the first equation given? or is it to be differentiated as it was?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not that I'm aware of. I think the problem is for you to practice implicit differentiation just as it is given.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.