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人気のある微分積分 >

derivative of 3^x-2^x

解

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

解

3^{x} ln (3) - 2^{x} ln (2)

解答ステップ

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

和/差の法則を適用:

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

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

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

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

= 3^{x} ln (3) - 2^{x} ln (2)

グラフ

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