March 8th, 2017, 11:26 AM  #1 
Newbie Joined: Mar 2017 From: Yes Posts: 2 Thanks: 0  finding dy/dt dy/dt = x^2 + xy y^2 and dx/dt = 8 when x = 6 Whenever I seem to try to do this problem, I can't get the y at the end to cancel and if I do it never is the correct answer. Last edited by skipjack; March 8th, 2017 at 12:34 PM. 
March 8th, 2017, 12:06 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 462 Math Focus: Calculus/ODEs 
Is that the entirety of the information you were given?

March 8th, 2017, 12:34 PM  #3 
Newbie Joined: Mar 2017 From: Yes Posts: 2 Thanks: 0 
yes

March 8th, 2017, 12:53 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 17,516 Thanks: 1318 
You are told (but omitted to tell us) that y > 0, so when x = 6, y must equal 9. Substituting y = 9 in your answer gives dy/dt = (96  72)/(6  18) = 14. The above assumes the intended question is "Find dy/dt where x² + xy  y² = 9 and dx/dt = 8 when x = 6". Last edited by skipjack; March 12th, 2017 at 06:17 AM. 
March 12th, 2017, 04:42 AM  #5  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,524 Thanks: 641  Is this really "dy/dt" or is it the original function, y, for which you want to find the derivative? Quote:
Quote:
 

Tags 
dy or dt, finding 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Help finding Δy/ Δx  selkat01  Calculus  2  September 3rd, 2014 01:29 AM 
Finding All  mathkid  Calculus  3  October 30th, 2012 09:00 AM 
Finding b and c!  chocolate  Algebra  4  July 2nd, 2012 12:51 PM 
Finding a value  ilovetheflowguy  Algebra  3  November 14th, 2011 01:17 PM 
finding Y.....  im_with_stupid  Algebra  6  January 26th, 2011 02:01 PM 