Cari turunan (dy/dx) fungsi berikut : 1.Y=tan pangkat -1 2X 2.Y= sin 2X

jawab

y = tan⁻¹ (2x)
y = 1/ tan(2x)
y = cot (2x)
u = 2x
du/dx = 2

y = cot u
dy/dx = - csc² u

dy/dx = dy/du. du/dx
dy/dx = - csc² (2x) . (2)
dy/dx = - 2 csc² (2x)

2) y =  sin 2x
u = 2x
du/dx = 2

y = sin u
dy/du = cos u

y'= 2 . cosu
y' = 2. cos (2x)