" 14."y=sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))

Find (dy)/(dx) in the following: y=sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))

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

Find (dy)/(dx) in the following: y= sin^(-1) (2x sqrt(1-x^(2))), (1)/(sqrt2) lt x lt 1

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

Prove that : 2 sin^-1 x = sin^-1 (2x sqrt(1-x^2)), |x| le (1/(sqrt2)

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))

Find dy/dx in the following: y=sin^-1(2x sqrt(1-x^2)) , -1/sqrt2ltxlt1/sqrt2

Prove that sin^(-1). ((x + sqrt(1 - x^(2))/(sqrt2)) = sin^(-1) x + (pi)/(4) , where - (1)/(sqrt2) lt x lt(1)/(sqrt2)

y = sin^(-1)(x/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2))