derivative sin(7ln(x))

解

導関数

sin (7 ln (x))

\frac{7 cos ( 7 ln ( x ) )}{x}

解答ステップ

\frac{d}{d x} (sin (7 ln (x)))

連鎖法則を適用:

cos (7 ln (x)) \frac{d}{d x} (7 ln (x))

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

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

= cos (7 ln (x)) \frac{7}{x}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{7 cos ( 7 ln ( x ) )}{x}