turunan dari (sin x - cos x)/sin x adalah ....

[tex]\displaystyle y=\frac{\sin x-\cos x}{\sin x}=1-\frac{\cos x}{\sin x} \\ y'=0-\frac{(-\sin x)(\sin x)-(\cos x)(\cos x)}{\sin^2 x} \\ y'=-\frac{-\sin^2 x-\cos^2 x}{\sin^2 x}=-\frac{-(\sin^2 x+\cos^2 x)}{\sin^2 x} \\ y'=\frac{1}{\sin^2 x}=\csc^2 x[/tex]