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人気のある微分積分 >

d/(dt)(k^2sin^2(t))

解

\frac{d}{d t} (k^{2} sin^{2} (t))

解

k^{2} sin (2 t)

解答ステップ

\frac{d}{d t} (k^{2} sin^{2} (t))

定数を除去:

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

= k^{2} \frac{d}{d t} (sin^{2} (t))

連鎖法則を適用:

2 sin (t) \frac{d}{d t} (sin (t))

= 2 sin (t) \frac{d}{d t} (sin (t))

\frac{d}{d t} (sin (t)) = cos (t)

= k^{2} \cdot 2 sin (t) cos (t)

2倍角の公式を使用:

2 sin (x) cos (x) = sin (2 x)

= k^{2} sin (2 t)

グラフ

人気の例

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d er i v a t i v e 2 csc^{3} (x) + 3 c t a (x^{2})

limit as x approaches 0-of 6+1/x

x \to 0 - lim (6 + \frac{1}{x})

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\frac{\partial}{\partial x} (\frac{x}{x + 1})

limit as x approaches infinity of x(1)^x

x \to \infty lim (x (1)^{x})