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人気のある微分積分 >

derivative of 4arctan(x)

解

\frac{d}{d x} (4 arctan (x))

解

\frac{4}{x ^{2} + 1}

解答ステップ

\frac{d}{d x} (4 arctan (x))

定数を除去:

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

= 4 \frac{d}{d x} (arctan (x))

共通の導関数を適用:

\frac{d}{d x} (arctan (x)) = \frac{1}{x ^{2} + 1}

= 4 \cdot \frac{1}{x ^{2} + 1}

簡素化

4 \cdot \frac{1}{x ^{2} + 1} : \frac{4}{x ^{2} + 1}

= \frac{4}{x ^{2} + 1}

グラフ

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