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人気のある微分積分 >

derivative y=3sqrt(a-b^2)x^4

解

導関数

y = 3 a - b^{2} x^{4}

解

12 x^{3} a - b^{2}

解答ステップ

\frac{d}{d x} (3 a - b^{2} x^{4})

定数を除去:

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

= 3 a - b^{2} \frac{d}{d x} (x^{4})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 a - b^{2} \cdot 4 x^{4 - 1}

簡素化

= 12 x^{3} a - b^{2}

人気の例

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