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Beliebt Rechnen >

derivative \sqrt[7]{x}

Lösung

ableitung von

7 x

Lösung

\frac{1}{7 x ^{\frac{6}{7}}}

Schritte zur Lösung

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

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

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

Wende die Potenzregel an:

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

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

Vereinfache

\frac{1}{7} x^{\frac{1}{7} - 1} : \frac{1}{7 x ^{\frac{6}{7}}}

= \frac{1}{7 x ^{\frac{6}{7}}}

Graph

Beliebte Beispiele

limit as x approaches 1 of 2x-2

x \to 1 lim (2 x - 2)

t an g e n t y = \frac{3}{x}

integral of 1/((x^2+16)^3)

\int \frac{1}{( x ^{2} + 16 ) ^{3}} d x

integral of 1/(3x^2+12)

\int \frac{1}{3 x ^{2} + 12} d x

integral of u^{-5}(7-u^5+u^{10})

\int u^{- 5} (7 - u^{5} + u^{10}) d u