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人気のある微分積分 >

derivative f(x)=ln(6)-3x^5

解

導関数

f (x) = ln (6) - 3 x^{5}

解

- 15 x^{4}

解答ステップ

\frac{d}{d x} (ln (6) - 3 x^{5})

和/差の法則を適用:

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

= \frac{d}{d x} (ln (6)) - \frac{d}{d x} (3 x^{5})

\frac{d}{d x} (ln (6)) = 0

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

= 0 - 15 x^{4}

簡素化

= - 15 x^{4}

グラフ

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