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CBSE Class 12-science Answered

difference wrt x  Tan-1 { 3x – x3/ 1 – 3x2}
Asked by haroonrashidgkp | 27 May, 2018, 12:38: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals tan to the power of negative 1 end exponent open parentheses fraction numerator 3 straight x space minus space straight x cubed over denominator 1 minus 3 straight x squared end fraction close parentheses
straight x space equals space tan space straight theta rightwards double arrow straight theta equals tan to the power of negative 1 end exponent straight x
dx space equals space sec squared θdθ
straight y equals tan to the power of negative 1 end exponent open parentheses fraction numerator 3 tanθ space minus space tan cubed straight theta over denominator 1 minus 3 tan squared straight theta end fraction close parentheses
straight y equals tan to the power of negative 1 end exponent open parentheses tan 3 straight theta close parentheses
straight y equals 3 straight theta
straight y equals 3 tan to the power of negative 1 end exponent straight x
dy over dx equals 3 cross times fraction numerator 1 over denominator 1 plus straight x squared end fraction end style
Answered by Sneha shidid | 28 May, 2018, 09:46: AM

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