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人気のある微分積分 >

derivative f(x)=arccos(3x)

解

導関数

f (x) = arccos (3 x)

解

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

解答ステップ

\frac{d}{d x} (arccos (3 x))

連鎖法則を適用:

- \frac{1}{1 - ( 3 x ) ^{2}} \frac{d}{d x} (3 x)

= - \frac{1}{1 - ( 3 x ) ^{2}} \frac{d}{d x} (3 x)

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

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

簡素化

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

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

グラフ

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