Question

Diketahui f(x)= 3x-1/x+2 ; ≠ -2. turunan pertama fungsi f(x) adalah f'(x) . nilai f'(1) =

Answer 1

Misal :
u = 3x-1
u' = 3
v = x+2
v' = 1

f(x) = u/v
f'(x) = (u'v - uv')/v²
= (3(x+2) - (3x-1)(1))/(x+2)²
= (3x+6-3x+1)/(x²+4x+4)
= 7/(x²+4x+4)

f'(1) = 7/(1²+4(1)+4)
= 7/(1+4+4)
= 7/9