d/(dy)((x)(x+4))

解答

\frac{d}{d y} ((y) (y + 4))

2 y + 4

求解步骤

\frac{d}{d y} ((y) (y + 4))

使用微分乘法定则:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = y + 4

= \frac{d y}{d y} (y + 4) + \frac{d}{d y} (y + 4) y

\frac{d y}{d y} = 1

\frac{d}{d y} (y + 4) = 1

= 1 \cdot (y + 4) + 1 \cdot y

化简

1 \cdot (y + 4) + 1 \cdot y : 2 y + 4

= 2 y + 4

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