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人気のある微分積分 >

derivative 14(2x+5)^6

解

導関数

14 (2 x + 5)^{6}

解

168 (2 x + 5)^{5}

解答ステップ

\frac{d}{d x} (14 (2 x + 5)^{6})

定数を除去:

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

= 14 \frac{d}{d x} ((2 x + 5)^{6})

連鎖法則を適用:

6 (2 x + 5)^{5} \frac{d}{d x} (2 x + 5)

= 6 (2 x + 5)^{5} \frac{d}{d x} (2 x + 5)

\frac{d}{d x} (2 x + 5) = 2

= 14 \cdot 6 (2 x + 5)^{5} \cdot 2

簡素化

= 168 (2 x + 5)^{5}

グラフ

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