Buktikan jika y=cosec x maka y'= -cosec X . cotg X. mhn bntuannya yah
dipa101
Csc x= 1/sin x u= 1 , u'= 0 v= sin x , v'= cos x y= u'.v - v'.u / v^2 y'= 0 . sin x - cos x . 1 / (sin x) (sin x) y'= -cos x / (sin x) (sin x) y'= -1 / sin x . cos x / sin x y'= -csc x . ctg x
u= 1 , u'= 0
v= sin x , v'= cos x
y= u'.v - v'.u / v^2
y'= 0 . sin x - cos x . 1 / (sin x) (sin x)
y'= -cos x / (sin x) (sin x)
y'= -1 / sin x . cos x / sin x
y'= -csc x . ctg x