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人気のある微分積分 >

derivative of x^3*sin(x)

解

\frac{d}{d x} (x^{3} \cdot sin (x))

解

3 x^{2} sin (x) + cos (x) x^{3}

解答ステップ

\frac{d}{d x} (x^{3} sin (x))

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = sin (x)

= \frac{d}{d x} (x^{3}) sin (x) + \frac{d}{d x} (sin (x)) x^{3}

\frac{d}{d x} (x^{3}) = 3 x^{2}

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

= 3 x^{2} sin (x) + cos (x) x^{3}

グラフ

人気の例

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