derivative of sqrt(3x^4)

Lösung

\frac{d}{d x} (3 x^{4})

23 x

Schritte zur Lösung

\frac{d}{d x} (3 x^{4})

Wende die Kettenregel an:

\frac{1}{2 3 x ^{4}} \frac{d}{d x} (3 x^{4})

= \frac{1}{2 3 x ^{4}} \frac{d}{d x} (3 x^{4})

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

= \frac{1}{2 3 x ^{4}} \cdot 12 x^{3}

Vereinfache

\frac{1}{2 3 x ^{4}} \cdot 12 x^{3} : 23 x

= 23 x

x \to 4 lim (\frac{4 - ∣ x ∣}{4 + x})

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