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CBSE Class 12-science Answered

 If y = log {1+cos2 x / 1 – e2x}1/2 Show that dy/dx = e2x/ (1 – e2x) – sin x cos x /( 1 + cos2 x) Show each and every step
Asked by haroonrashidgkp | 03 Jun, 2018, 11:23: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals log open parentheses fraction numerator 1 plus cos squared straight x over denominator 1 minus straight e to the power of 2 straight x end exponent end fraction close parentheses to the power of 1 half end exponent
straight y equals 1 half open square brackets log open parentheses 1 plus cos squared straight x close parentheses minus log open parentheses 1 minus straight e to the power of 2 straight x end exponent close parentheses close square brackets
dy over dx equals 1 half open square brackets fraction numerator 1 over denominator 1 plus cos squared straight x end fraction cross times 2 cosx cross times open parentheses negative sinx close parentheses minus fraction numerator 1 over denominator 1 minus straight e to the power of 2 straight x end exponent end fraction cross times open parentheses negative straight e to the power of 2 straight x end exponent close parentheses cross times 2 close square brackets
dy over dx equals fraction numerator straight e to the power of 2 straight x end exponent over denominator 1 minus straight e to the power of 2 straight x end exponent end fraction minus fraction numerator sinxcosx over denominator 1 plus cos squared straight x end fraction end style
Answered by Sneha shidid | 04 Jun, 2018, 11:20: AM

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