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Beliebt Rechnen >

derivative of x^{4/3}-5

Lösung

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

Lösung

\frac{4 x ^{\frac{1}{3}}}{3}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x^{\frac{4}{3}}) = \frac{4 x ^{\frac{1}{3}}}{3}

\frac{d}{d x} (5) = 0

= \frac{4 x ^{\frac{1}{3}}}{3} - 0

Vereinfache

= \frac{4 x ^{\frac{1}{3}}}{3}

Graph

Beliebte Beispiele

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})

derivative arccos(3x^2)

d er i v a t i v e arccos (3 x^{2})