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人気のある微分積分 >

d/(dθ)(2sin(3θ))

解

\frac{d}{d θ} (2 sin (3 θ))

解

6 cos (3 θ)

解答ステップ

\frac{d}{d θ} (2 sin (3 θ))

定数を除去:

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

= 2 \frac{d}{d θ} (sin (3 θ))

連鎖法則を適用:

cos (3 θ) \frac{d}{d θ} (3 θ)

= cos (3 θ) \frac{d}{d θ} (3 θ)

\frac{d}{d θ} (3 θ) = 3

= 2 cos (3 θ) \cdot 3

簡素化

= 6 cos (3 θ)

グラフ

人気の例

limit as x approaches 0-of e^{2/x}

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

integral of (x^3-3)

\int (x^{3} - 3) d x

integral of xsin(7x^2)cos(8x^2)

\int x sin (7 x^{2}) cos (8 x^{2}) d x

integral of y-x^3

\int y - x^{3} d x

limit as n approaches infinity of 1/(3n)

n \to \infty lim (\frac{1}{3 n})