Home
Class 11
MATHS
If y=sqrt(x/a)+sqrt(a/x) , prove that 2x...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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