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Beliebt Rechnen >

derivative of 4-x^{2/3}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (4) = 0

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

= 0 - \frac{2}{3 x ^{\frac{1}{3}}}

Vereinfache

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

Graph

Beliebte Beispiele

derivative of x^{4/3}-5

\frac{d}{d x} (x^{\frac{4}{3}} - 5)

integral from-1 to 3 of (1+4x)

\int_{- 1}^{3} (1 + 4 x) d x

derivative of 3x^3+5x

\frac{d}{d x} (3 x^{3} + 5 x)

derivative of sqrt(x)(2-x^2)

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

(\partial)/(\partial x)(xe^{-3z+2y})

\frac{\partial}{\partial x} (x e^{- 3 z + 2 y})