`sqrt(x^2) lt x+1`

log_(16)x^(3)+(log_(2)sqrt(x))^(2) lt 1 iff x lies in

log_(16)x^(3)+(log_(2)sqrt(x))^(2) lt 1 iff x lies in

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

Solve for x if sqrt(x^(2)-x) lt (x-1)

Solve for x if sqrt(x^(2)-x) lt (x-1)

If x gt 0 , prove that, log (x+sqrt(x^(2)+1)) lt x

The derivative of sin^(-1) (2x sqrt(1-x^(2)))" w.r.t. "sin^(-1)x, (1)/(sqrt(2)) lt x lt 1 , is:

The derivative of sin^(-1)(2xsqrt(1-x^2)) w.r.t. sin^(-1)x,(1)/(sqrt2) lt x lt 1 is :

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

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