1) y= 1 / (x^2 +1)
2)y=x^2 cos x
3) x-1 / x^3+2
Tentukan turunan dari fungsi berikut :
Jawaban Terkonfirmasi
Jawab
y = 1/(x² +1)
y = (x² +1)⁻¹
y' = -1 (x² +1)⁻²
y' = -1/(x²+1)²
y = x² cos x
y = u v
y' = u' v + uv'
y' = (2x)(cos x) + (x²)(-sin x)
y' = 2x cos x – x² sin x
y = (x+1)/(x³+2)
y = u/v
y' = (u'v – uv')/v²
y' = {(1)(x³+2) – (x-1)(3x²)} / (x³+2)²
y' = (x³+2 – 3x³ + 3x²) / (x³+2)²
y' = (-2x³ + 3x² + 2) / (x³+2)²