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Beliebt Rechnen >

derivative f(X)=\sqrt[4]{X^3}-1

Lösung

ableitung von

f (X) = 4 X^{3} - 1

Lösung

\frac{3 X ^{2}}{4 ( X ^{3} ) ^{\frac{3}{4}}}

Schritte zur Lösung

\frac{d}{d X} (4 X^{3} - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d X} (4 X^{3}) - \frac{d}{d X} (1)

\frac{d}{d X} (4 X^{3}) = \frac{3 X ^{2}}{4 ( X ^{3} ) ^{\frac{3}{4}}}

\frac{d}{d X} (1) = 0

= \frac{3 X ^{2}}{4 ( X ^{3} ) ^{\frac{3}{4}}} - 0

Vereinfache

= \frac{3 X ^{2}}{4 ( X ^{3} ) ^{\frac{3}{4}}}

Graph

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