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Y= e^(sin^2x +sin^4x +sin^6x......................infinity) then dy/dx=
Asked by keshavendu36 | 06 May, 2019, 01:44: PM
Expert Answer
begin mathsize 16px style straight y equals straight e to the power of sin squared straight x plus sin to the power of 4 straight x plus sin to the power of 6 straight x plus..... infinity end exponent
straight y equals straight e to the power of sin squared straight x open parentheses 1 plus sin to the power of 4 straight x plus sin to the power of 6 straight x plus..... infinity close parentheses end exponent
straight y equals straight e to the power of sin squared straight x cross times fraction numerator 1 over denominator 1 minus sin squared straight x end fraction end exponent
straight y equals straight e to the power of fraction numerator sin squared straight x over denominator cos squared straight x end fraction end exponent
straight y equals straight e to the power of tan squared straight x end exponent
dy over dx equals straight e to the power of tan squared straight x end exponent space cross times 2 tanxsec squared straight x end style
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