निम्नलिखित फलनों को x के सापेक्ष अवकलित करें|
(i) `xsec^(-1)x`
(ii) `sqrt(1-x^(2))sin^(-1)x-x`
(iii) `("cos"^(-1)(x)/(2))/(sqrt(2x+7)),-2ltxlt2`
(iv) `sin^(-1)x+sin^(-1)sqrt(1-x^(2)),-1lexle1`

Answer

(i) `sec^(-1)x+(1)/(sqrt(x^(2)-1))`
(ii) `-(sin^(-1)x)/(sqrt(1-x^(2)))`
(iii) `-(2x+7+sqrt(4-x^(2))"cos"^(-1)(x)/(2))/((2x+7)^(3//2)sqrt(4-x^(2)))`
(iv) 0