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Beliebt Rechnen >

derivative of x^2+(2a^3/x)

Lösung

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

Lösung

2 x - \frac{2 a ^{3}}{x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x - \frac{2 a ^{3}}{x ^{2}}

Graph

Beliebte Beispiele

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

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

x^{^{'}} = x

limit as x approaches 0+of sin(x)ln(x)

x \to 0 + lim (sin (x) ln (x))

derivative of (2x-8/(4x-3))

\frac{d}{d x} (\frac{2 x - 8}{4 x - 3})

derivative of (cos(4x)/x)

\frac{d}{d x} (\frac{cos ( 4 x )}{x})