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人気のある微分積分 >

(arctan(3x))^'

解

(arctan (3 x))^{^{'}}

解

\frac{3}{9 x ^{2} + 1}

解答ステップ

(arctan (3 x))^{'}

連鎖法則を適用:

\frac{1}{( 3 x ) ^{2} + 1} (3 x)^{'}

= \frac{1}{( 3 x ) ^{2} + 1} (3 x)^{'}

(3 x)^{'} = 3

= \frac{1}{( 3 x ) ^{2} + 1} \cdot 3

簡素化

\frac{1}{( 3 x ) ^{2} + 1} \cdot 3 : \frac{3}{9 x ^{2} + 1}

= \frac{3}{9 x ^{2} + 1}

グラフ

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