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Beliebt Rechnen >

derivative of ((x^4}{12}+\frac{(x^3))/3)

Lösung

\frac{d}{d x} (\frac{( x ^{4} )}{12} + \frac{( x ^{3} )}{3})

Lösung

\frac{x ^{3}}{3} + x^{2}

Schritte zur Lösung

\frac{d}{d x} (\frac{( x ^{4} )}{12} + \frac{( x ^{3} )}{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{4}}{12}) + \frac{d}{d x} (\frac{x ^{3}}{3})

\frac{d}{d x} (\frac{x ^{4}}{12}) = \frac{x ^{3}}{3}

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

= \frac{x ^{3}}{3} + x^{2}

Graph

Beliebte Beispiele

limit as x approaches 0 of tan^x(5x)

x \to 0 lim (tan^{x} (5 x))

(\partial)/(\partial x)(x+2y)

\frac{\partial}{\partial x} (x + 2 y)

integral of 4sin(x)+3cos(x)+5e^x

\int 4 sin (x) + 3 cos (x) + 5 e^{x} d x

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

integral of (3x)/(sqrt(2x+4))

\int \frac{3 x}{2 x + 4} d x