Tentukan turunan fungsi f(x)=3x-4/4x-1

f(x) = 3x-4/4x-1
f(x) = 3x-4(4x-1)^-1
f(x) = 3x-4(-4x+1)
f'(x) = 3(-4)
f'(x) = -12

Bab Turunan

[tex]f(x) = \frac{3x - 4}{4x - 1} [/tex]
[tex]Misalkan \\
u = 3x - 4\\
Maka \\
u' = 3\\

Misalkan\\
v = 4x - 1\\
Maka\\
v' = 4[/tex]

[tex]f'(x) = \frac{u'v - uv'}{v^2} [/tex]
[tex]f'(x) = \frac{3(4x - 1) - 4(3x - 4)}{(4x - 1)^2} [/tex]
[tex]f'(x) = \frac{12x - 3 - 12x + 16}{(16x^2 - 16x - 16x + 1)} [/tex]
[tex]f'(x) = \frac{13}{(16x^2 - 32x + 1)} [/tex]