derivative of sqrt(2x^3)

Lösung

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

\frac{3 x}{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= \frac{1}{2 2 x ^{3}} \cdot 6 x^{2}

Vereinfache

\frac{1}{2 2 x ^{3}} \cdot 6 x^{2} : \frac{3 x}{2}

= \frac{3 x}{2}

\int (e^{x^{3}}) d x

\frac{d}{d x} (sin^{2} (3 x) + cos (5 x^{2}))

\int_{0}^{\infty} e^{- 2 t} d t

\int (x + 2) (x^{2} + 4 x + 2)^{10} d x

\int - 64 d x