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人気のある微分積分 >

derivative of k^x+x^k

解

\frac{d}{d x} (k^{x} + x^{k})

解

k^{x} ln (k) + k x^{k - 1}

解答ステップ

\frac{d}{d x} (k^{x} + x^{k})

和/差の法則を適用:

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

= \frac{d}{d x} (k^{x}) + \frac{d}{d x} (x^{k})

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

\frac{d}{d x} (x^{k}) = k x^{k - 1}

= k^{x} ln (k) + k x^{k - 1}

グラフ

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