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CBSE Class 12-science Answered

  If (x2 + y2)2 = xy, find dy/dx Mention each and every step
Asked by haroonrashidgkp | 19 Jun, 2018, 10:55: PM
answered-by-expert Expert Answer
(x2 + y2)2 = xy
begin mathsize 16px style 2 open parentheses straight x squared plus straight y squared close parentheses open parentheses 2 straight x plus 2 straight y dy over dx close parentheses equals straight x dy over dx plus straight y
open parentheses 2 straight x squared plus 2 straight y squared close parentheses open parentheses 2 straight x plus 2 straight y dy over dx close parentheses equals straight x dy over dx plus straight y
4 straight x cubed plus 4 straight x squared straight y dy over dx plus 4 xy squared plus 4 straight y cubed dy over dx equals straight x dy over dx plus straight y
4 straight x squared straight y dy over dx plus 4 straight y cubed dy over dx minus straight x dy over dx equals straight y minus 4 straight x cubed minus 4 xy squared
open parentheses 4 straight x squared straight y plus 4 straight y cubed minus straight x close parentheses dy over dx equals straight y minus 4 straight x cubed minus 4 xy squared
dy over dx equals fraction numerator straight y minus 4 straight x cubed minus 4 xy squared over denominator 4 straight x squared straight y plus 4 straight y cubed minus straight x end fraction end style
Answered by Sneha shidid | 20 Jun, 2018, 09:53: AM

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