derivative \sqrt[3]{x}-3x

Lösung

ableitung von

3 x - 3 x

\frac{1}{3 x ^{\frac{2}{3}}} - 3

Schritte zur Lösung

\frac{d}{d x} (3 x - 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (3 x)

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

\frac{d}{d x} (3 x) = 3

= \frac{1}{3 x ^{\frac{2}{3}}} - 3

d er i v a t i v e \frac{4 x ^{2} + 2 x + 4}{x}

\frac{d y}{d x} = e^{4 x} + 5 y

x \to 0 lim (5 x^{4})

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