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CBSE Class 12-science Answered

    Differentiate sin-1(2x + 1/ 1 + 4x) wrt x
Asked by haroonrashidgkp | 27 May, 2018, 12:59: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator 2 to the power of straight x plus 1 end exponent over denominator 1 plus 4 to the power of straight x end fraction close parentheses straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator 2 cross times 2 to the power of straight x over denominator 1 plus open parentheses 2 squared close parentheses to the power of straight x end fraction close parentheses 2 to the power of straight x space equals space tanθ space rightwards double arrow straight theta equals tan to the power of negative 1 end exponent open parentheses 2 to the power of straight x close parentheses straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator 2 cross times tanθ over denominator 1 plus tan squared straight theta end fraction close parentheses straight y equals sin to the power of negative 1 end exponent open parentheses sin 2 straight theta close parentheses straight y equals 2 straight theta straight y equals 2 tan to the power of negative 1 end exponent open parentheses 2 to the power of straight x close parentheses dy over dx equals 2 cross times fraction numerator 1 over denominator 1 plus open parentheses 2 to the power of straight x close parentheses squared end fraction cross times 2 to the power of straight x log 2 dy over dx equals fraction numerator 2 to the power of straight x plus 1 end exponent over denominator 1 plus 4 to the power of straight x end fraction cross times log 2 end style
Answered by Sneha shidid | 28 May, 2018, 10:33: AM

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CBSE 12-science - Maths
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