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人気のある微分積分 >

derivative of b(x+a^3+c)

解

\frac{d}{d x} (b (x + a)^{3} + c)

解

3 b (x + a)^{2}

解答ステップ

\frac{d}{d x} (b (x + a)^{3} + c)

和/差の法則を適用:

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

= \frac{d}{d x} (b (x + a)^{3}) + \frac{d c}{d x}

\frac{d}{d x} (b (x + a)^{3}) = 3 b (x + a)^{2}

\frac{d c}{d x} = 0

= 3 b (x + a)^{2} + 0

簡素化

= 3 b (x + a)^{2}

グラフ

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