" 17."sin^(-1)(2x sqrt(1-x^(2)))

(sin^(-1)x)/(sqrt(1-x^(2))

(sin^(-1)x)/(sqrt(1-x^(2))

(tan^(-1)x)/(sqrt(1-x^(2))) withrespectto sin ^(-1)(2x sqrt(1-x^(2)))

Prove that : sin^(-1) (2x sqrt(1-x^(2)))= 2 sin^(-1) x, - 1/(sqrt(2)) le x le 1/(sqrt(2))

Differentiate sin^(-1)(2x sqrt(1-x^(2))) with respect to x, if ^(*)-1/(sqrt(2))

Differentiate sin^(-1)(2x sqrt(1-x^(2))) with respect to x, if '1/(sqrt(2))

Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) with respect to sin^(-1)(2x sqrt(1-x^(2))), if -(1)/(sqrt(2))

Differentiate each of the following functions with respect to x:( i) sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))

Prove the following : sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,x in[-1/sqrt2,1/sqrt2]

sin^(-1)(2x sqrt(1-x^(2))),x in[(1)/(sqrt(2)),1] is equal to