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Beliebt Rechnen >

derivative f(x)=x^4-x^2

Lösung

ableitung von

f (x) = x^{4} - x^{2}

Lösung

4 x^{3} - 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x^{3} - 2 x

Graph

Beliebte Beispiele

t((dx)/(dt))+3x=5t^2

t (\frac{d x}{d t}) + 3 x = 5 t^{2}

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

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

derivative of 12x^3+12x^2

\frac{d}{d x} (12 x^{3} + 12 x^{2})

integral of (sqrt(x)-x^3e^x+x^2)/(x^3)

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

limit as x approaches 0 of xcos(11/2 x)

x \to 0 lim (x cos (\frac{11}{2} x))