differntiate wrt x

If y = sec-1 ( x + 1/ x – 1) + sin-1 ( x – 1 / x + 1), show that dy/dx = 0

Asked by haroonrashidgkp | 27th May, 2018, 12:51: PM

Expert Answer:

begin mathsize 16px style straight y equals sec to the power of negative 1 end exponent open parentheses fraction numerator straight x plus 1 over denominator straight x minus 1 end fraction close parentheses plus sin to the power of negative 1 end exponent open parentheses fraction numerator straight x minus 1 over denominator straight x plus 1 end fraction close parentheses
straight y equals cos to the power of negative 1 end exponent open parentheses fraction numerator straight x minus 1 over denominator straight x plus 1 end fraction close parentheses plus sin to the power of negative 1 end exponent open parentheses fraction numerator straight x minus 1 over denominator straight x plus 1 end fraction close parentheses
straight y equals straight pi over 2
dy over dx equals 0 end style

Answered by Sneha shidid | 28th May, 2018, 10:41: AM