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Beliebt Rechnen >

derivative y=x^4+2x^2-x

Lösung

ableitung von

y = x^{4} + 2 x^{2} - x

Lösung

4 x^{3} + 4 x - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d x}{d x} = 1

= 4 x^{3} + 4 x - 1

Graph

Beliebte Beispiele

limit as x approaches 2 of 2x^3

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

derivative of-x^{-3}

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

integral of-(x+1)/x

\int - \frac{x + 1}{x} d x

4y^{''}-4y^'-3y=0

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0

implicit (dy)/(dx),y^2=2x

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