Home
Class 11
MATHS
if y=sqrt(x^2+a^2), then show that y(dy)...

if `y=sqrt(x^2+a^2),` then show that `y(dy)/(dx)=x`

Promotional Banner

Similar Questions

Explore conceptually related problems

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt(x^2+a^2)) .

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt((x^2+a^2)

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

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

If sqrt (1-y^2) + sqrt (1-x^2) =a(x-y) , then show that dy/dx = sqrt (frac{1-y^2}{1-x^2})

If sqrt (1- x^2 ) + sqrt (1- y^2 ) = a(x-y), then show that dy/dx = sqrt ( frac{1- y^2 }{1- x^2 } )