`(d)/(dx) [sqrt (1-x^(2) )sin ^(-1) x-x ]` का मान ज्ञात कीजिए|

Explanation

`(d)/(dx) [sqrt (1-x^(2) )sin ^(-1) x-x ]`
` therefore (d)/(dx) [sqrt (1-x^(2) ) sin ^(-1) x] -(d)/(dx) [x]`
` =(sqrt (1-x^(2) )) (d)/(dx)sin ^(-1) x+sin^(-1)""x(d)/(dx) (sqrt(1-x^(2)))-(d)/(dx)(x) `
` sqrt (1-x^(2))*(1)/(sqrt(1-x^(2)))+sin ^(-1) x*(1)/(2) (1-x^(2) )^(-1//2) *(-2x ) -1`
` " "{ 1-(xsin ^(-1) x)/(sqrt (1-x^(2)))-1} =(-xsin ^(-1) x)/(sqrt (1-x^(2)))`