फलन का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए| ` e^(sqrtsin x+sqrt cos x)`

Answer

` e^(sqrt(sin x)+ sqrt cos x ) [(cos x)/(2sqrtsin x )- (sinx )/(2sqrtcos x)]`

Explanation

` (d)/(dx) (e^(sqrt(sin x )+ sqrt(cos x )))= (d)/(dt) (e^(t) ) (dt)/(dx)" "` जहाँ ` t= sqrt (sin x )+ sqrt (cos x)`
` rArr " "(dt)/(dx) =(cos x )/(2sqrt sin x )-(sinx )/(2sqrt (cos x ))`
` therefore " "(d)/(dx) (e^(sqrt(sin x)+ sqrt(cos x ) ) ) =(d)/(dt) " " ` (सरल करने पर)