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Beliebt Rechnen >

derivative of (x-5^{2/3})

Lösung

\frac{d}{d x} ((x - 5)^{\frac{2}{3}})

Lösung

\frac{2}{3 ( x - 5 ) ^{\frac{1}{3}}}

Schritte zur Lösung

\frac{d}{d x} ((x - 5)^{\frac{2}{3}})

Wende die Kettenregel an:

\frac{2}{3 ( x - 5 ) ^{\frac{1}{3}}} \frac{d}{d x} (x - 5)

= \frac{2}{3 ( x - 5 ) ^{\frac{1}{3}}} \frac{d}{d x} (x - 5)

\frac{d}{d x} (x - 5) = 1

= \frac{2}{3 ( x - 5 ) ^{\frac{1}{3}}} \cdot 1

Vereinfache

= \frac{2}{3 ( x - 5 ) ^{\frac{1}{3}}}

Graph

Beliebte Beispiele

derivative of arcsin(-3x)

\frac{d}{d x} (arcsin (- 3 x))

y^{''}=-4y-4y^'

y^{^{''}} = - 4 y - 4 y^{^{'}}

(\partial)/(\partial y)(tan(y))

\frac{\partial}{\partial y} (tan (y))

tangent log_{2}(x+x^{-2})

t an g e n t lo g_{2} (x + x^{- 2})

limit as t approaches infinity of t^2

t \to \infty lim (t^{2})