[" Fing in is evilisy fit "],[[" (i) "sin^(4)(2x sqrt(1-x^(2)))=2sin^(4)x,,-(1)/(sqrt(2))," srs "(1)/(sqrt(2))]]

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

(x.sin^(-1)x^(2))/(sqrt(1-x^(4)))

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)))+sin^(-1)(3x-4x^(3))=(7 pi)/(9)in((1)/(2)*(1)/(sqrt(2))) is

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

Show that (i) sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/(sqrt(2))lexle1/(sqrt(2)) (ii) sin^(-1)(2xsqrt(1-x^(2)))=2cos^(-1)x,1/(sqrt(2))lexle1

Show that (i) sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/(sqrt(2))lexle1/(sqrt(2)) (ii) sin^(-1)(2xsqrt(1-x^(2)))=2cos^(-1)x,1/(sqrt(2))lexle1

If f(x)=tan^(-1)sqrt(x^(2)+4x) +sin^(-1)sqrt(x^(2)+4x+1)