Question

Kak ini soalku yg katanya guruku pake cara u per v kak
yg nomor 23 yg aku lingkarin

Answer 1

F(x) = u/v
f'(x) = (v.u' - v'.u)/v²

f(x) = (x²-6) / √x
misal:
u = x² - 6  → u' = 2x
v = √x      → v' = (1/2√x)

f'(x) = (v.u' - v'.u)/v²
       = (√x .(2x) -  (1/2√x).(x² - 6)) / (√x)²
       = (2x√x - (1/2)x.√x + 3/√x) / x
       = ((3/2)x√x + 3/√x) / x
       = (3/2)√x + (3√x)/x²........... ga ada di opsi