a(x^(2)+1)-x(a^(2)+1)=0

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is

Verify rolle's theoram F(x)=x^(2)(1-x)^(2) in [0,1]

x(2y-1)dx+(x^(2)+1)dy=0

If f(x)={{:((x^(2)-1)/(x^(2)+1),,",",0ltxle2),((1)/(4)(x^(3)-x^(2)),,",",2ltxle3),((9)/(4)(abs(x-4)+abs(2-x)),,",",3ltxlt4):} then

If the two roots (a-1)(x^(4)+x^(2)+1)+(a+1)(x^(2)+x+1)^(2)=0 are real and distinct,then the set of all values of 'a ' is.....

If f(x)=(4x(x^(2)+1))/(x^(2)+(x^(2)+1)^(2)),x>=0 then the maximum value of f(x)=k. The value of (5)/(2)k is :

If y=sin^(-1)((2x)/(1+x^(2)))+sec^(-1)((1+x^(2))/(1-x^(2))),0

tan^(-1)(1-x^(2)-(1)/(x^(2)))+sin^(-1)(x^(2)+(1)/(x^(2))-1) where x!=0) is equal to

A function f(x) is defined by, f(x) = {{:(([x^(2)]-1)/(x^(2)-1)",","for",x^(2) ne 1),(0",","for",x^(2) = 1):} Discuss the continuity of f(x) at x = 1.