derivative of arccos(7x)

解

\frac{d}{d x} (arccos (7 x))

- \frac{7}{1 - 49 x ^{2}}

解答ステップ

\frac{d}{d x} (arccos (7 x))

連鎖法則を適用:

- \frac{1}{1 - ( 7 x ) ^{2}} \frac{d}{d x} (7 x)

= - \frac{1}{1 - ( 7 x ) ^{2}} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= - \frac{1}{1 - ( 7 x ) ^{2}} \cdot 7

簡素化

- \frac{1}{1 - ( 7 x ) ^{2}} \cdot 7 : - \frac{7}{1 - 49 x ^{2}}

= - \frac{7}{1 - 49 x ^{2}}