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人気のある微分積分 >

derivative g(t)=6sqrt(t)

解

導関数

g (t) = 6 t

解

\frac{3}{t}

解答ステップ

\frac{d}{d t} (6 t)

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d t} (t)

累乗根の規則を適用する:

a = a^{\frac{1}{2}}

= 6 \frac{d}{d t} (t^{\frac{1}{2}})

乗の法則を適用:

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

= 6 \cdot \frac{1}{2} t^{\frac{1}{2} - 1}

簡素化

6 \cdot \frac{1}{2} t^{\frac{1}{2} - 1} : \frac{3}{t}

= \frac{3}{t}

グラフ

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