1.

यदि ` y= (1-cos 2x) /( 1+cos 2x) ` तब ` (dy)/(dx) ` का मान ज्ञात कीजिए|

Answer» `y= (1-cos 2x) /(1+cos 2x) =(1-1 +2sin ^(2) x )/(1+2cos ^(2) x-1) `
` =(sin ^(2)x )/( cos ^(2) x )= tan ^(2) x =(tanx )^(2) `
माना ` tan x=t `
` therefore " "y= t^(2) `
` therefore " "(dy)/(dx) =(d)/(dt) t^(2) (d)/(dx) tan x =2tsec^(2) x `
` therefore " "(dy)/(dx) =2tan x sec^(2) x `


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