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人気のある微分積分 >

derivative e^{x^5}+log_{4}(pi)

解

導関数

e^{x^{5}} + lo g_{4} (π)

解

5 e^{x^{5}} x^{4}

解答ステップ

\frac{d}{d x} (e^{x^{5}} + lo g_{4} (π))

和/差の法則を適用:

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

= \frac{d}{d x} (e^{x^{5}}) + \frac{d}{d x} (lo g_{4} (π))

\frac{d}{d x} (e^{x^{5}}) = e^{x^{5}} \cdot 5 x^{4}

\frac{d}{d x} (lo g_{4} (π)) = 0

= e^{x^{5}} \cdot 5 x^{4} + 0

簡素化

= 5 e^{x^{5}} x^{4}

グラフ

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