derivative f(x)=x^{6/7}

Lösung

ableitung von

f (x) = x^{\frac{6}{7}}

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

Schritte zur Lösung

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

Wende die Potenzregel an:

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

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

Vereinfache

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

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

t an g e n t f (x) = \frac{3}{x ^{\frac{1}{2}}}, (1, 3)

n = 1 \sum \infty (\frac{4}{5})^{n}

\int_{7}^{8} \frac{7}{50 + x ^{2} - 14 x} d x

\int 2 x^{\frac{5}{2}} d x

x \to 5 lim (f (x))