फलन ` sec^(-1) ((sqrt(x)+1)/(sqrt(x-1)))+ sin^(-1)((sqrt(x)-1)/(sqrt(x+1))) ` का अवकल गुणांक ज्ञात कीजिए ।

Explanation

मान लीजिये ` y = sec ^(-1) ((sqrt(x+1))/sqrt(x-1)) + sin ^(-1) ( (sqrt(x-1))/(sqrt(x+1)))`
या ` y = cos ^(-1) ((sqrt(x-1))/sqrt(x+1)) + sin ^(-1) ( (sqrt(x-1))/(sqrt(x+1))) " " [ :' sec^(-1) x = cos^(-1) 1/x]`
` y = pi/2 " " [ :' sin^(-1) x + cos ^(-1) x = pi/2 ] `
` :. dy/dx = 0 `