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人気のある微分積分 >

derivative of 6ln(cos(x))

解

\frac{d}{d x} (6 ln (cos (x)))

解

- 6 tan (x)

解答ステップ

\frac{d}{d x} (6 ln (cos (x)))

定数を除去:

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

= 6 \frac{d}{d x} (ln (cos (x)))

連鎖法則を適用:

\frac{1}{cos ( x )} \frac{d}{d x} (cos (x))

= \frac{1}{cos ( x )} \frac{d}{d x} (cos (x))

\frac{d}{d x} (cos (x)) = - sin (x)

= 6 \cdot \frac{1}{cos ( x )} (- sin (x))

簡素化

6 \cdot \frac{1}{cos ( x )} (- sin (x)) : - 6 tan (x)

= - 6 tan (x)

グラフ

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