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Beliebt Rechnen >

derivative of 2x^2-x^4

Lösung

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

Lösung

4 x - 4 x^{3}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x - 4 x^{3}

Graph

Beliebte Beispiele

derivative of 5x^2-2x

\frac{d}{d x} (5 x^{2} - 2 x)

limit as x approaches 3 of (x^2-9)/(x+2)

x \to 3 lim (\frac{x ^{2} - 9}{x + 2})

laplacetransform 5*t^3

l a pl a ce t r an s f or m 5 \cdot t^{3}

(1+x^2)y^{''}+2xy^'-2y=0

(1 + x^{2}) y^{^{''}} + 2 x y^{^{'}} - 2 y = 0

y^'+y=1.01cos(10x)

y^{^{'}} + y = 1.01 cos (10 x)