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CBSE Class 12-science Answered

If y= log tan (pie/4 + x/2) Show that dy/dx = sec x     mention each and every formula and minute details
Asked by haroonrashidgkp | 03 Jun, 2018, 11:15: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals space log space open square brackets tan space open parentheses straight pi over 4 space plus space straight x over 2 close parentheses close square brackets dy over dx equals fraction numerator 1 over denominator tan space open parentheses straight pi over 4 space plus space straight x over 2 close parentheses end fraction cross times sec squared open square brackets tan space open parentheses straight pi over 4 space plus space straight x over 2 close parentheses close square brackets cross times 1 half dy over dx equals fraction numerator cos open parentheses straight pi over 4 space plus space straight x over 2 close parentheses over denominator sin open parentheses straight pi over 4 space plus space straight x over 2 close parentheses end fraction cross times fraction numerator 1 over denominator cos squared open parentheses straight pi over 4 space plus space straight x over 2 close parentheses end fraction cross times 1 half dy over dx equals fraction numerator 1 over denominator 2 sin open parentheses straight pi over 4 space plus space straight x over 2 close parentheses cos open parentheses straight pi over 4 space plus space straight x over 2 close parentheses end fraction dy over dx equals fraction numerator 1 over denominator sin open square brackets 2 cross times open parentheses straight pi over 4 space plus space straight x over 2 close parentheses close square brackets end fraction dy over dx equals fraction numerator 1 over denominator sin open square brackets open parentheses straight pi over 2 space plus space straight x close parentheses close square brackets end fraction dy over dx equals fraction numerator 1 over denominator cos straight x end fraction equals secx end style
Answered by Sneha shidid | 04 Jun, 2018, 10:59: AM

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