d/(dY)((i)(Li+LY))

解答

\frac{d}{d Y} ((i) (L i + L Y))

i L

求解步骤

\frac{d}{d Y} ((i) (L i + L Y))

化简

(i) (L i + L Y) : - L + i L Y

= \frac{d}{d Y} (- L + i L Y)

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d L}{d Y} + \frac{d}{d Y} (i L Y)

\frac{d L}{d Y} = 0

\frac{d}{d Y} (i L Y) = i L

= - 0 + i L

化简

= i L

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