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人気のある微分積分 >

derivative 4pix^2

解

導関数

4 π x^{2}

解

8 π x

解答ステップ

\frac{d}{d x} (4 π x^{2})

定数を除去:

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

= 4 π \frac{d}{d x} (x^{2})

乗の法則を適用:

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

= 4 π 2 x^{2 - 1}

簡素化

= 8 π x

グラフ

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