Misc 14 - if x = root 1+y + y root 1+x = 0, prove dy/dx - Finding derivative of Implicit functions

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Misc 14 If 1+ + 1+ = 0 , for 1 < < 1, prove that = 1 1 + 2 1+ + 1+ = 0 1+ = 1+ Squaring both sides 1+ 2 = 1+ 2 2 1+ 2 = 2 1+ 2 2 1+ = 2 1+ 2 + 2 = 2 + 2 2 2 = xy2 x2y + = + = + = + = = = + = +1 + 1 = = + 1 Differentiating . . . . = + 1 = + 1 + 1 8 . + 1 2 = 1 + 1 1 + 0 + 1 2 = 1 + 1 2 = 1 + 1 2 Hence, = +

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.