d/(db)((c)(a^2+b^2))

解答

\frac{d}{d b} ((c) (a^{2} + b^{2}))

2 c b

求解步骤

\frac{d}{d b} ((c) (a^{2} + b^{2}))

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= c \frac{d}{d b} (a^{2} + b^{2})

使用微分加减法定则:

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

= c (\frac{d}{d b} (a^{2}) + \frac{d}{d b} (b^{2}))

\frac{d}{d b} (a^{2}) = 0

\frac{d}{d b} (b^{2}) = 2 b

= c (0 + 2 b)

化简

= 2 c b

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