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人気のある微分積分 >

derivative of e^{x/2}+4x

解

\frac{d}{d x} (e^{\frac{x}{2}} + 4 x)

解

e^{\frac{x}{2}} \frac{1}{2} + 4

解答ステップ

\frac{d}{d x} (e^{\frac{x}{2}} + 4 x)

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{\frac{x}{2}}) + \frac{d}{d x} (4 x)

\frac{d}{d x} (e^{\frac{x}{2}}) = e^{\frac{x}{2}} \frac{1}{2}

\frac{d}{d x} (4 x) = 4

= e^{\frac{x}{2}} \frac{1}{2} + 4

グラフ

人気の例

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\int_{0}^{4.5} 100 x d x

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