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CBSE Class 12-science Answered

differentiate wrt x  Sin-1 { 1 /  (  1 + x2)1/2}
Asked by haroonrashidgkp | 27 May, 2018, 12:34: 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 1 over denominator square root of 1 plus straight x squared end root end fraction close parentheses
straight x equals tanθ space rightwards double arrow space straight theta equals tan to the power of negative 1 end exponent straight x
straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of 1 plus tan squared straight theta end root end fraction close parentheses
straight y equals sin to the power of negative 1 end exponent open parentheses 1 over secθ close parentheses
straight y equals sin to the power of negative 1 end exponent open parentheses cosθ close parentheses
straight y equals sin to the power of negative 1 end exponent open parentheses straight pi over 2 minus straight theta close parentheses
straight y equals straight pi over 2 minus straight theta
straight y equals straight pi over 2 minus tan to the power of negative 1 end exponent straight x
dy over dx equals fraction numerator negative 1 over denominator 1 plus straight x squared end fraction
end style
Answered by Sneha shidid | 28 May, 2018, 10:06: AM

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