derivative of ln(2x^3)

Lösung

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

\frac{3}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{3}{x}

\frac{\partial}{\partial x} (\frac{y ^{2}}{x + y})

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

x \to \infty + lim (5 + \frac{6}{x})

2 \frac{d ^{2} y}{d x ^{2}} - 14 \frac{d y}{d x} + 24 y = 3 sin (4 x)

x \to 2 - lim (e^{\frac{3}{( 2 - x )}})