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Beliebt Rechnen >

derivative of |x^4-4x^2|

Lösung

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

Lösung

\frac{( x ^{4} - 4 x ^{2} ) ( 4 x ^{3} - 8 x )}{∣ x ^{4} - 4 x ^{2} ∣}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x^{4} - 4 x^{2}) = 4 x^{3} - 8 x

= \frac{x ^{4} - 4 x ^{2}}{∣ ( x ^{4} - 4 x ^{2} ) ∣} (4 x^{3} - 8 x)

Multipliziere Brüche:

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

= \frac{( x ^{4} - 4 x ^{2} ) ( 4 x ^{3} - 8 x )}{∣ x ^{4} - 4 x ^{2} ∣}

Graph

Beliebte Beispiele

integral of cos^2(2θ)

\int cos^{2} (2 θ) d θ

integral of (3x^2)/((x^3+3)^2)

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

(\partial)/(\partial x)(2x^2+9y^2)

\frac{\partial}{\partial x} (2 x^{2} + 9 y^{2})

integral of 2e^{3x+e^{3x}}

\int 2 e^{3 x + e^{3 x}} d x

d/(dt)(2e^tcos(t))

\frac{d}{d t} (2 e^{t} cos (t))