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Beliebt Rechnen >

derivative of \sqrt[7]{x^8}

Lösung

\frac{d}{d x} (7 x^{8})

Lösung

\frac{8 x ^{\frac{1}{7}}}{7}

Schritte zur Lösung

\frac{d}{d x} (7 x^{8})

Wende die Kettenregel an:

\frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \frac{d}{d x} (x^{8})

= \frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \frac{d}{d x} (x^{8})

\frac{d}{d x} (x^{8}) = 8 x^{7}

= \frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \cdot 8 x^{7}

Vereinfache

\frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \cdot 8 x^{7} : \frac{8 x ^{\frac{1}{7}}}{7}

= \frac{8 x ^{\frac{1}{7}}}{7}

Graph

Beliebte Beispiele

integral of ((x^3)ln(2x))

\int ((x^{3}) ln (2 x)) d x

10(dy)/(dx)+20y=12

10 \frac{d y}{d x} + 20 y = 12

derivative of (x^3/9)

\frac{d}{d x} (\frac{x ^{3}}{9})

integral from 2 to 6 of x/(x-2)

\int_{2}^{6} \frac{x}{x - 2} d x

tangent x^4+8x^2-x

t an g e n t x^{4} + 8 x^{2} - x