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CBSE Class 12-science Answered

If y = sec x – tan x , show that  (cos x)d2y/dx2 = y2 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 11:11: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals secx plus tanx
dy over dx equals secxtanx plus sec squared straight x
dy over dx equals secx open parentheses secx plus tanx close parentheses
dy over dx equals ysecx
fraction numerator straight d squared straight y over denominator dx squared end fraction equals ysecxtanx plus secx dy over dx
fraction numerator straight d squared straight y over denominator dx squared end fraction equals secx open parentheses ytanx plus dy over dx close parentheses
fraction numerator straight d squared straight y over denominator dx squared end fraction equals secx open parentheses ytanx plus ysecx close parentheses
fraction numerator straight d squared straight y over denominator dx squared end fraction equals ysecx open parentheses tanx plus secx close parentheses
cosx fraction numerator straight d squared straight y over denominator dx squared end fraction equals straight y squared end style
 
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Asked by haroonrashidgkp | 24 Aug, 2018, 11:12: PM
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CBSE 12-science - Maths
Asked by haroonrashidgkp | 24 Aug, 2018, 11:11: PM
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CBSE 12-science - Maths
Differentiate space straight y equals square root of fraction numerator straight x squared plus 2 over denominator straight x squared plus 3 end fraction end root 
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