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CBSE Class 12-science Answered

If y = sin-1 x , prove that   (1 – x2)d2y/dx2 – x dy/dx = 0 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:53: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals sin to the power of negative 1 end exponent straight x
dy over dx equals fraction numerator 1 over denominator square root of 1 minus straight x squared end root end fraction
square root of 1 minus straight x squared end root dy over dx equals 1
open parentheses 1 minus straight x squared close parentheses open parentheses dy over dx close parentheses squared equals 1
open parentheses 1 minus straight x squared close parentheses 2 dy over dx fraction numerator straight d squared straight y over denominator dx squared end fraction plus open parentheses dy over dx close parentheses squared open parentheses negative 2 straight x close parentheses equals 0
open parentheses 1 minus straight x squared close parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction minus straight x dy over dx equals 0 end style
Answered by Sneha shidid | 27 Aug, 2018, 11:03: AM
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