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人気のある微分積分 >

derivative f(x)=2(13-x^4)

解

導関数

f (x) = 2 (13 - x^{4})

解

- 8 x^{3}

解答ステップ

\frac{d}{d x} (2 (13 - x^{4}))

定数を除去:

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

= 2 \frac{d}{d x} (13 - x^{4})

和/差の法則を適用:

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

= 2 (\frac{d}{d x} (13) - \frac{d}{d x} (x^{4}))

\frac{d}{d x} (13) = 0

\frac{d}{d x} (x^{4}) = 4 x^{3}

= 2 (0 - 4 x^{3})

簡素化

= - 8 x^{3}

グラフ

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