Tentukan turunan dari y= x³ + 3 x/ sin x
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turunan
y = u/v → y’ = (u’v – uv’)/v²
y = (x³ + 3x)/sin x
u = x³ + 3x → u’ = 3x² + 3
v = sin x → v’ = cos x
y’
= ((3x² + 3)sin x – (x³ + 3x)cos x) / sin² x
= (3x² + 3)sinx/sin² x – (x³ + 3x) cos x/sin² x
= (3x² + 3)/sin x – (x³ + 3x) cotan x /sin x
= (3x² + 3) cosec x – (x³ + 3x) cotan x cosec x