derivative of ln(x^3-63)

Lösung

\frac{d}{d x} (ln (x^{3} - 63))

\frac{3 x ^{2}}{x ^{3} - 63}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{3} - 63))

Wende die Kettenregel an:

\frac{1}{x ^{3} - 63} \frac{d}{d x} (x^{3} - 63)

= \frac{1}{x ^{3} - 63} \frac{d}{d x} (x^{3} - 63)

\frac{d}{d x} (x^{3} - 63) = 3 x^{2}

= \frac{1}{x ^{3} - 63} \cdot 3 x^{2}

Vereinfache

\frac{1}{x ^{3} - 63} \cdot 3 x^{2} : \frac{3 x ^{2}}{x ^{3} - 63}

= \frac{3 x ^{2}}{x ^{3} - 63}

x \to 4 lim (2)

\int_{- 3}^{3} \frac{x}{1 + ∣ x ∣} d x

s im pl i f y - \frac{2}{x ^{3}} + \frac{3}{x ^{2}} - 4 x

x \to 0 lim (\frac{( cos ( 4 x ) - cos ( 6 x ) )}{cos ( 2 x ) sin ^{2} ( 5 x )})

y^{^{'}} + y \cdot sin (x) = sin (x)