यदि ` y= (1)/(sqrt (a^(2) -x^(2) ) ),` तब ` (dy)/(dx)` का मान ज्ञात कीजिए|

Explanation

यहाँ ` y= (1)/(sqrt( a^(2- x^(2)) ) )`
माना ` (a^(2) -x^(2) )= t `
` therefore " "y= (1)/(sqrt ( t))=t^(-1//2) `
` rArr(dy)/(dx) =-(1)/(2) t^(-3//2) =(-1)/(2t^(3//2) ` और ` (dt)/(( dx))=-2x`
हम जानते है की ` rArr " "(dy)/(dx) =((dy)/(dt) xx (dt)/(dx) ) =-(1)/(2t^(3//2) ) xx(-2x) =(x) /(t^(3//2) ) `
` (dy)/(dx) =(x) /((a^(2) -x^(2) )^(3//2))`