derivative 4t^{1/2}

解

導関数

4 t^{\frac{1}{2}}

\frac{2}{t ^{\frac{1}{2}}}

解答ステップ

\frac{d}{d t} (4 t^{\frac{1}{2}})

定数を除去:

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

= 4 \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}

= 4 \cdot \frac{1}{2} t^{\frac{1}{2} - 1}

簡素化

4 \cdot \frac{1}{2} t^{\frac{1}{2} - 1} : \frac{2}{t ^{\frac{1}{2}}}

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