Tolong bantu jawab ya kak..

Tolong bantu jawab ya kak..

turunan
y = u/v –> y' = (u'v – uv')/v²

Penjelasan dengan langkah-langkah:

$sf 1) f(x) = frac{2x^2- 4}{4x+ 1}$

u = 2x² – 4 dan v = 4x+ 1

$sf f'(x) = dfrac{u'v - uv'}{v^2}$

$sf f'(x) = dfrac{4x(4x+1) - 4(2x^2-4)}{(4x+ 1)^2}$

$sf f'(x) = dfrac{16x^2 + 4x - 8x^2+16}{(4x+ 1)^2}$

$sf f'(x) = dfrac{8x^2 + 4x +16}{(4x+ 1)^2}$

$sf 2) f(x) = dfrac{2x-3}{x-2}$

u = 2x- 3 dan v = x- 2

$sf f'(x) = dfrac{u'v - uv'}{v^2}$

$sf f'(x) = dfrac{2(x- 2) - 1(2x- 3)}{(x- 2)^2}$

$sf f'(x) = dfrac{2x- 4 - 2x + 3}{(x- 2)^2}$

$sf f'(x) = - dfrac{1}{(x- 2)^2}$