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Beliebt Rechnen >

derivative of (3sqrt(3)x^2/2)

Lösung

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

Lösung

33 x

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{3 3}{2} \cdot 2 x^{2 - 1}

Vereinfache

\frac{3 3}{2} \cdot 2 x^{2 - 1} : 33 x

= 33 x

Graph

Beliebte Beispiele

derivative of sqrt(x)ln(9x)

\frac{d}{d x} (x ln (9 x))

limit as x approaches infinity of-(x)^2

x \to \infty lim (- (x)^{2})

integral of 1/((1-x))

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

y^{^{'}} = sin (x)

limit as x approaches 1 of 2x^2

x \to 1 lim (2 x^{2})