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Beliebt Rechnen >

derivative of |x^2-1|

Lösung

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

Lösung

\frac{2 x ( x ^{2} - 1 )}{∣ x ^{2} - 1 ∣}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{x ^{2} - 1}{∣ ( x ^{2} - 1 ) ∣} \frac{d}{d x} (x^{2} - 1)

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

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

= \frac{x ^{2} - 1}{∣ ( x ^{2} - 1 ) ∣} \cdot 2 x

Multipliziere Brüche:

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

= \frac{2 x ( x ^{2} - 1 )}{∣ x ^{2} - 1 ∣}

Graph

Beliebte Beispiele

integral from 0 to 1 of (23)/(4x-1)

\int_{0}^{1} \frac{23}{4 x - 1} d x

implicit (dy)/(dx),y^5=x^3

im pl i c i t \frac{d y}{d x}, y^{5} = x^{3}

integral of 5sec^2(1+5x)

\int 5 sec^{2} (1 + 5 x) d x

1/(x^8)(dy)/(dx)=12+15y

\frac{1}{x ^{8}} \frac{d y}{d x} = 12 + 15 y

derivative 5/(ln(x))

d er i v a t i v e \frac{5}{ln ( x )}