Question

carilah turunan pertama dari fungsi fx=6x+10/x-6​

Answer 1

turunan pecahan

f(x) = 6x + 10/x - 6

u = 6x + 10

u' = 6

v = x - 6

v' = 1

f'(x) = (u'v - v'u)/v²

f'(x) = ((6)(x - 6) - (1)(6x + 10))/(x - 6)²

f'(x) = (6x - 36 - 6x - 10)/(x - 6)²

f'(x) = -46/(x - 6)²