फलन का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए|` (i)tan x^(@) " "(ii) sec x ^(@)`

Answer

` (pi)/(180 ) sec^(2) ""(pix)/(180)(ii) (pi)/(180 ) tan ""(pix)/(180 ) `

Explanation

`(i) (d)/(dx) (tan x^(@) )= (d)/(dx) (tan""(pix )/(180 ))`
माना ` " "(pix)/(180 ) =t " "rArr (dt)/(dx) =(pi)/(180 ) `
` rArr (d)/(dx) (tan ^(@) ) =(d)/(dx)(tan""(pix )/(180 ) )= (d)/(dt) (tan t ) (dt)/(dx)`
` " "= (d)/(dt) (tan t ) ""*(pi)/(180) =(pi)/(180 ) sec ^(2)t= (pi)/(180 ) sec ^(2) ((pix)/(180))`