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人気のある微分積分 >

derivative f(x)=sin(9ln(x))

解

導関数

f (x) = sin (9 ln (x))

解

\frac{9 cos ( 9 ln ( x ) )}{x}

解答ステップ

\frac{d}{d x} (sin (9 ln (x)))

連鎖法則を適用:

cos (9 ln (x)) \frac{d}{d x} (9 ln (x))

= cos (9 ln (x)) \frac{d}{d x} (9 ln (x))

\frac{d}{d x} (9 ln (x)) = \frac{9}{x}

= cos (9 ln (x)) \frac{9}{x}

分数を乗じる:

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

= \frac{9 cos ( 9 ln ( x ) )}{x}

グラフ

人気の例

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y^{^{''}} + 4 y = sin (x), y (0) = 1, y^{^{'}} (0) = 4

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