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Beliebt Rechnen >

derivative x^a

Lösung

ableitung von

x^{a}

Lösung

a x^{a - 1}

Schritte zur Lösung

\frac{d}{d x} (x^{a})

Wende die Potenzregel an:

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

= a x^{a - 1}

Graph

Beliebte Beispiele

d/(dt)(tan(sqrt(5t)))

\frac{d}{d t} (tan (5 t))

tangent y=-6x^2+4

t an g e n t y = - 6 x^{2} + 4

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

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

derivative y=(1-y)/(x-1)

d er i v a t i v e y = \frac{1 - y}{x - 1}

limit as x approaches+7 of 2cos(x)

x \to + 7 lim (2 cos (x))