pochodne xxx: y= 3cos²x / sin³x

M:

Mei Lin: (3(cos(x))²)'=2*3cos(x)*(−sin(x)=−6cos(x)*sin(x) (sin³(x))'=(sin(x))³)'=3sin²(x)*cos(x)

	−6cos(x)*sin(x)*sin3(x)−3cos2(x)*3sin2(x)*cos(x)
y'=
	(sin3(x))2

	−6sin4(x)*cos(x)−9cos3(x)*sin2(x)
y'=
	(sin3(x))2

	−3sin2(x)*cos(x)[2sin2(x)+3cos2(x)
y'=
	(sin3(x))2

y'=−3(1−cos²(x))*cos(x)[2(1−cos²(x)+3cos²(x)}{(sin³(x))²}

	(3cos3(x)−3cos(x)[cos2(x)+2]
y'=
	(sin3(x))2

	3cos5(x)+6cos3(x)−3cos3(x)−6cos(x)
y'
	(sin3(x))2

	3cos5(x)+3cos3(x)−6cos(x)
y'=
	(sin3(x))2