Question

Jika f(x).......... ​

Answer 1

Jawab:

Rumus turunan

f(x) = u/v

f'(x) = (u'v - uv') / v²

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

u = x - 4

u' = 1

v = 3x + 2

v' = 3

f'(x) = (u'v - uv') / v²

     = ((1)(3x + 2) - (x - 4)(3)) / (3x + 2)²

     = ((3x + 2) - (3x - 12)) / (9x² + 12x + 4)

     = (-10) / (9x² + 12x + 4)

f'(-1) = (-10) / (9(-1)² + 12(-1) + 4)

      = (-10) / (9 - 12 + 4)

      = (-10) / 1

f'(-1) = -10