turunan dari y = 1 + √x / 1-√x

Diferensial

y = u/v
y = (1 + √x)/(1 - √x)
y = (1 + √x)² / (1 - √x)(1 + √x)
y = (1 + √x)² / (1 - x)

y' = u'v + uv'
y' = 2(1 + √x) . 1/2 x^-1/2 . (1 - x) + (1 + √x)² (-1)
y' = (1 + √x)(1 - x) x^-1/2 - (1 + √x)²
y' = [(1 +√x)/√x] (1 - x - (1 - √x))
y' = (1 + √x)/√x . (x + √x)