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Beliebt Rechnen >

derivative of |x^2-3x+2|

Lösung

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

Lösung

\frac{( x ^{2} - 3 x + 2 ) ( 2 x - 3 )}{∣ x ^{2} - 3 x + 2 ∣}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{x ^{2} - 3 x + 2}{∣ ( x ^{2} - 3 x + 2 ) ∣} \frac{d}{d x} (x^{2} - 3 x + 2)

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

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

= \frac{x ^{2} - 3 x + 2}{∣ ( x ^{2} - 3 x + 2 ) ∣} (2 x - 3)

Multipliziere Brüche:

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

= \frac{( x ^{2} - 3 x + 2 ) ( 2 x - 3 )}{∣ x ^{2} - 3 x + 2 ∣}

Graph

Beliebte Beispiele

derivative of 5sqrt((xy/2))

\frac{d}{d x} (5 \frac{x y}{2})

2sqrt(x)(dy)/(dx)=cos^2(y)

2 x \frac{d y}{d x} = cos^{2} (y)

derivative arccos(x^{1/2})

d er i v a t i v e arccos (x^{\frac{1}{2}})

derivative 4x^3+e^{16x}-3^{2x-1}

d er i v a t i v e 4 x^{3} + e^{16 x} - 3^{2 x - 1}

integral of ((x^3)/(sqrt(1-x^2)))

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