Home
Class 12
MATHS
" Q16.If "y=sqrt(x^(2)+1)-log((1)/(x)+sq...

" Q16.If "y=sqrt(x^(2)+1)-log((1)/(x)+sqrt(1+(1)/(x^(2))))" ,prove that "(dy)/(dx)=(sqrt(x^(2)+1))/(x)

Promotional Banner

Similar Questions

Explore conceptually related problems

y=sqrt(x^(2)+1)-log((1)/(x)+sqrt(1+(1)/(x^(2)))), find (dy)/(dx)

y=sqrt(x)+(1)/(sqrt(x)), prove that 2x(dy)/(dx)=sqrt(x)-(1)/(sqrt(x))

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

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

If y=tan^(-1)(sqrt(1+x^(2))-x) then,prove that (dy)/(dx)=-(1)/(2(x^(2)+1))

If y sqrt(x^(2)+1)= log (sqrt(x^(2)+1)-x) , prove that (x^(2)+1)(dy)/(dx) +xy+1=0 .

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

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

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

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