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Beliebt Rechnen >

derivative of-2x^4+3x^3-x^2

Lösung

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

Lösung

- 8 x^{3} + 9 x^{2} - 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

= - 8 x^{3} + 9 x^{2} - 2 x

Graph

Beliebte Beispiele

implicit (dy)/(dx),40x^{1/3}y^{2/3}=480

im pl i c i t \frac{d y}{d x}, 40 x^{\frac{1}{3}} y^{\frac{2}{3}} = 480

integral of (2x)/((x-1)(x-2))

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

integral of ((x^2+3x+1))/x

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

derivative of (4y^2-x^4/(4xy))

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

integral of (2x)/(x^2-49)

\int \frac{2 x}{x ^{2} - 49} d x