derivative 4t^{(-3)/8}

Lösung

ableitung von

4 t^{\frac{- 3}{8}}

- \frac{3}{2 t ^{\frac{11}{8}}}

Schritte zur Lösung

\frac{d}{d t} (4 t^{\frac{- 3}{8}})

Entferne die Konstante:

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

= 4 \frac{d}{d t} (t^{\frac{- 3}{8}})

Wende die Potenzregel an:

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

= 4 \cdot \frac{- 3}{8} t^{\frac{- 3}{8} - 1}

Vereinfache

4 \cdot \frac{- 3}{8} t^{\frac{- 3}{8} - 1} : - \frac{3}{2 t ^{\frac{11}{8}}}

= - \frac{3}{2 t ^{\frac{11}{8}}}

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