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人気のある微分積分 >

derivative of 3cos(5x)

解

\frac{d}{d x} (3 cos (5 x))

解

- 15 sin (5 x)

解答ステップ

\frac{d}{d x} (3 cos (5 x))

定数を除去:

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

= 3 \frac{d}{d x} (cos (5 x))

連鎖法則を適用:

- sin (5 x) \frac{d}{d x} (5 x)

= - sin (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= 3 (- sin (5 x) \cdot 5)

簡素化

= - 15 sin (5 x)

グラフ

人気の例

(x + 1)^{^{'}}

derivative of (6x/(1-cot(x)))

\frac{d}{d x} (\frac{6 x}{1 - cot ( x )})

limit as x approaches+0 of (e^x-1)/(2x)

x \to + 0 lim (\frac{e ^{x} - 1}{2 x})

limit as x approaches 0 of x(11+7/x)

x \to 0 lim (x (11 + \frac{7}{x}))

integral from 0 to pi/(14) of cos(7x)

\int_{0}^{\frac{π}{14}} cos (7 x) d x