Kalkulus
Turunan Aturan Hasil Kali
y = (x² + 2)(x³ + 1)
Turunan Aturan Hasil Kali
y = (x² + 2)(x³ + 1)
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Jawaban :
y = ( x² + 2 ) ( x³ + 1 )
y = x²+³ + x² + 2x³ + 2
y = x⁵ + x² + 2x³ + 2
y = x⁵ + 2x³ + x² + 2
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Verified answer
TURUnan
y = (x² + 2)(x³ + 1)
misal :
u = x² + 2 → u' = 2x
v = x³ + 1 → v' = 3x²
y = uv
y' = u'v + uv'
y' = 2x(x³ + 1) + (x² + 2).3x²
y' = 2x⁴ + 2x + 3x⁴ + 6x²
y' = 5x⁴ + 6x² + 2x
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