derivative of |x|^3

Lösung

\frac{d}{d x} (∣ x ∣^{3})

\frac{3 x ^{3}}{∣ x ∣}

Schritte zur Lösung

\frac{d}{d x} (∣ x ∣^{3})

Wende die Kettenregel an:

3 ∣ x ∣^{2} \frac{d}{d x} (∣ x ∣)

= 3 ∣ x ∣^{2} \frac{d}{d x} (∣ x ∣)

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

= 3 ∣ x ∣^{2} \frac{x}{∣ x ∣}

Vereinfache

3 ∣ x ∣^{2} \frac{x}{∣ x ∣} : \frac{3 x ^{3}}{∣ x ∣}

= \frac{3 x ^{3}}{∣ x ∣}

\int \frac{1}{( 4 x - x ^{2} ) ^{3}} d x

\int e^{- t (a + s)} d t

\int_{50}^{50.25} 2 d x

n = 1 \sum \infty ln (1 + \frac{1}{n})

\int_{0}^{9} 81 - x^{2} d x