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CBSE Class 12-science Answered

find dy/dx  x = 3at/( 1 + t2), y = 3at2/(1 + t2) explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:49: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals fraction numerator 3 at over denominator 1 plus straight t squared end fraction space and space straight y equals fraction numerator 3 at squared over denominator 1 plus straight t squared end fraction dx over dt equals fraction numerator left parenthesis 1 plus straight t squared right parenthesis 3 straight a minus 3 at cross times 2 straight t over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction dx over dt equals fraction numerator 3 straight a open parentheses 1 plus straight t squared minus 2 straight t squared close parentheses over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction dx over dt equals fraction numerator 3 straight a open parentheses 1 minus straight t squared close parentheses over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction............ left parenthesis straight i right parenthesis straight y equals fraction numerator 3 at squared over denominator 1 plus straight t squared end fraction dy over dt equals fraction numerator left parenthesis 1 plus straight t squared right parenthesis 6 at minus 3 at squared cross times 2 straight t over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction dy over dt equals fraction numerator 6 at open parentheses 1 plus straight t squared minus 2 straight t squared close parentheses over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction dy over dt equals fraction numerator 6 at open parentheses 1 minus straight t squared close parentheses over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction.......... left parenthesis ii right parenthesis dy over dx equals fraction numerator fraction numerator 6 at open parentheses 1 minus straight t squared close parentheses over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction over denominator fraction numerator 3 straight a open parentheses 1 minus straight t squared close parentheses over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction end fraction dy over dx equals fraction numerator 6 at open parentheses 1 minus straight t squared close parentheses over denominator open parentheses 1 plus straight t squared close parentheses squared end fraction cross times fraction numerator open parentheses 1 plus straight t squared close parentheses squared over denominator 3 straight a open parentheses 1 minus straight t squared close parentheses end fraction dy over dx equals fraction numerator 6 at over denominator 3 straight a end fraction equals 2 straight t end style
Answered by Sneha shidid | 27 Aug, 2018, 09:44: AM

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