Turunan pertama fungsi f(x)=2-3x/x+1

Turunan pertama fungsi f(x)=2-3x/x+1

$f(x) = frac{2 - 3x}{x + 1}$

misal

u = 2-3x

u' = -3

v = x+1

v' = 1

$f(x) = frac{u}{v} to : f'(x)= frac{u'v-uv'}{ {v}^{2} } \ : f'(x)= frac{u'v-uv'}{ {v}^{2} } \ : = frac{( - 3)(x + 1)-(2 - 3x)(1)}{ {(x + 1)}^{2} } \ = frac{ - 3x - 3 - 2 + 3x}{ {(x + 1)}^{2} } \ = frac{ - 5}{ {x}^{2} + 2x + 1 }$