" sune "(x^(2)-4)sqrt(x^(2)-1)<0

If x+sqrt(x^(2)-1)+(1)/(x+sqrt(x^(2)+1))=20 then x^(2)+sqrt(x^(4)-1)+(1)/(x^(2)+sqrt(x^(4)-1))=

If y="tan"^(-1) (sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2))) show that, (dy)/(dx)=(x)/(sqrt(1-x^(4)))

Expand (2x^(2)-3sqrt(1-x^(2)))^(4)+(2x^(2)+3sqrt(1-x^(2)))^(4)

int (sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(4)))dx=

Show that the derivative of (sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2))) w.r.t. sqrt(1-x^(4)) is (sqrt(1-x^(4))-1)/(x^(6)) .

lim_(x=oo)(sqrt(x^(2)+1)-3sqrt(x^(2)+1))/(4sqrt(x^(4)+1)-5sqrt(x^(4)-1)) is equal to

If (2+sqrt(3))^(x^(2)-1)+(2-sqrt(3))^(x^(2)-1)=4 then x= ?

Differentiate (sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))wr,rtsqrt(1-x^(4))

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these