derivative of (x^{6/7}/5)

Lösung

\frac{d}{d x} (\frac{x ^{\frac{6}{7}}}{5})

\frac{6}{35 x ^{\frac{1}{7}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{\frac{6}{7}}}{5})

Entferne die Konstante:

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

= \frac{1}{5} \frac{d}{d x} (x^{\frac{6}{7}})

Wende die Potenzregel an:

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

= \frac{1}{5} \cdot \frac{6}{7} x^{\frac{6}{7} - 1}

Vereinfache

\frac{1}{5} \cdot \frac{6}{7} x^{\frac{6}{7} - 1} : \frac{6}{35 x ^{\frac{1}{7}}}

= \frac{6}{35 x ^{\frac{1}{7}}}

d er i v a t i v e \frac{1}{x ^{2} + 3 x - 1}

\int \frac{1}{( x - 1 ) ^{2} + 4} d x

\int_{0}^{π} t \cdot sin (3 t) d t

n = 0 \sum \infty \frac{2}{5 ^{n - 1}}

t an g e n t y = sin (sin (x)), (3 π, 0)