derivative of |x^2-4|

Lösung

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

\frac{2 x ( x ^{2} - 4 )}{∣ x ^{2} - 4 ∣}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{x ^{2} - 4}{∣ ( x ^{2} - 4 ) ∣} \frac{d}{d x} (x^{2} - 4)

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

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

= \frac{x ^{2} - 4}{∣ ( x ^{2} - 4 ) ∣} \cdot 2 x

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 x ( x ^{2} - 4 )}{∣ x ^{2} - 4 ∣}

\frac{d}{d x} (sin (x) sin (y) sin (x + y))

x \to 2 lim (x^{3} f (x))

n = 1 \sum \infty \frac{( - 1 ) ^{n}}{5 ( 2 ^{n + 2} )}

x \to 1 + lim (\frac{7}{1 - x})

d er i v a t i v e y = 4 - 3 x