Question

No 29. turunan pertama fungsi fx= 4-2x/3x+2 adalah...

Answer 1

F (x) = (4 - 2x) / (3x + 2)

misal :
u = 4 - 2x
u' = -2
v = 3x + 2
v' = 3

f ' (x) = (u'v - uv') / (v)²
f ' (x) = ((-2)(3x + 2) - (4 - 2x)(3)) / (3x + 2)²
f ' (x) = ((-6x - 4) - (12 - 6x)) / (3x + 2)²
f ' (x) = (-6x - 4 - 12 + 6x) / (3x + 2)²
f ' (x) = -16 / (3x + 2)²