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Beliebt Rechnen >

derivative-2/5 x^{3/4}

Lösung

ableitung von

- \frac{2}{5} x^{\frac{3}{4}}

Lösung

- \frac{3}{10 x ^{\frac{1}{4}}}

Schritte zur Lösung

\frac{d}{d x} (- \frac{2}{5} x^{\frac{3}{4}})

Vereinfache

- \frac{2}{5} x^{\frac{3}{4}} : - \frac{2 x ^{\frac{3}{4}}}{5}

= \frac{d}{d x} (- \frac{2 x ^{\frac{3}{4}}}{5})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{2}{5} \frac{d}{d x} (x^{\frac{3}{4}})

Wende die Potenzregel an:

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

= - \frac{2}{5} \cdot \frac{3}{4} x^{\frac{3}{4} - 1}

Vereinfache

- \frac{2}{5} \cdot \frac{3}{4} x^{\frac{3}{4} - 1} : - \frac{3}{10 x ^{\frac{1}{4}}}

= - \frac{3}{10 x ^{\frac{1}{4}}}

Graph

Beliebte Beispiele

integral from 1 to 6 of 5/(x^2)

\int_{1}^{6} \frac{5}{x ^{2}} d x

derivative f(x)=x^4-6x^2+9

d er i v a t i v e f (x) = x^{4} - 6 x^{2} + 9

d/(dt)(incos(t))

\frac{d}{d t} (in cos (t))

integral of x^45^x

\int x^{4} 5^{x} d x

tangent f(x)=(x^2-48)^4,\at x=7

t an g e n t f (x) = (x^{2} - 48)^{4}, at x = 7