Question

If y=√x/a+√a/x then prove that 2xy dy/dx
=x/a-a/x

Answer 1

Answer:

Step-by-step explanation:

y=( √ x/a+ √ a/x)

squaring both sides

y2= x/a+a/x+2

on differentiating both sides

(2y) dy/dx= 1/a-a/x2

multiply x on both sides

(2xy) dy/dx= xa-a/x