" If "y=cos^(-1)(x^(2n)-1)/(x^(2n)+1)" then "y'(x)=

If y=cos^(-1)((x^(2n)-1)/(x^(2n)+1)))," then "(1+x^(2n))y_(1)=

cos^(-1)((1-x^(2n))/(1+x^(2n)))

cos^(-1)((1-x^(2n))/(1+x^(2n)))

Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2 tan^(-1)x^n

If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

2cos theta=x+(1)/(x) and 2cos phi=y+(1)/(y) then (A)x^(n)+(1)/(x^(n))=2cos(n theta)n in Z(B)(x)/(y)+(y)/(x)=2cos(theta-phi)(C)xy+(1)/(Xy)=2cos(theta+phi)(D)x^(m)y^(n)+(1)/(x^(m)y^(n))=2(cos m theta+n phi),m,n in Z

If y^((1)/(n))+y^(-(1)/(n))=2x then (x^(2)-1)y_(2)+xy_(1) is equal to

Let y_(n)(x)=x^(2)+(x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+...(x^(2))/((1+x^(2))^(n-1)) and y(x)=lim_(x rarr oo)y_(n)(x) Discuss the continuity of y_(n)(x)(n=1,2,3dots n) and y(x)atx=0

If sqrt(1-x^(2n))+sqrt(1-y^(2n))=a^(n)(x^(n)-y^(n)) prove that y^(n-1)*sqrt(1-x^(2n))dy=x^(n-1)sqrt(1-y^(2n))dx

If sqrt(1-x^(2n))+sqrt(1-y^(2n))=a^(n)(x^(n)-y^(n)) , prove that, (dy)/(dx)=((x)/(y))^(n-1).sqrt((1-y^(2n))/(1-x^(2n))