Tolong dong cuma 2 soal ini saja
Penjelasan dengan langkah-langkah:
Turunan
a).
y = x – 2√x
y = x – 2x^½
y' = 1 – 1/2.2x^(1/2 – 1)
y' = 1 – x^-½
y' = 1 – 1/x^½
y' = 1 – 1/√x
b).
f(x) = 3x + 2/ 2x + 1
misal
u = 3x + 2 → u’ = 3
v = 2x + 1 → v’ = 2
maka,
f'(x) = u'v – uv' / v²
f'(x) = 3(2x + 1) – 2(3x + 2) / (2x + 1)²
f'(x) = (6x + 3 – 6x – 4) / (2x + 1)²
f'(x) = -1/ (2x + 1)²