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人気のある微分積分 >

derivative of 9(3x+5^2)

解

\frac{d}{d x} (9 (3 x + 5)^{2})

解

54 (3 x + 5)

解答ステップ

\frac{d}{d x} (9 (3 x + 5)^{2})

定数を除去:

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

= 9 \frac{d}{d x} ((3 x + 5)^{2})

連鎖法則を適用:

2 (3 x + 5) \frac{d}{d x} (3 x + 5)

= 2 (3 x + 5) \frac{d}{d x} (3 x + 5)

\frac{d}{d x} (3 x + 5) = 3

= 9 \cdot 2 (3 x + 5) \cdot 3

簡素化

= 54 (3 x + 5)

グラフ

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