(d^2)/(dx^2)(4x\sqrt[3]{x})

Lösung

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

\frac{16}{9 x ^{\frac{2}{3}}}

Schritte zur Lösung

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

Vereinfache

4 x 3 x : 4 x^{\frac{4}{3}}

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

\frac{d}{d x} (4 x^{\frac{4}{3}}) = \frac{16 3 x}{3}

= \frac{d}{d x} (\frac{16 3 x}{3})

\frac{d}{d x} (\frac{16 3 x}{3}) = \frac{16}{9 x ^{\frac{2}{3}}}

= \frac{16}{9 x ^{\frac{2}{3}}}

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