derivative f(x)= 7/2 x^{2/7}

Lösung

ableitung von

f (x) = \frac{7}{2} x^{\frac{2}{7}}

\frac{1}{x ^{\frac{5}{7}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{7}{2} x^{\frac{2}{7}})

Entferne die Konstante:

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

= \frac{7}{2} \frac{d}{d x} (x^{\frac{2}{7}})

Wende die Potenzregel an:

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

= \frac{7}{2} \cdot \frac{2}{7} x^{\frac{2}{7} - 1}

Vereinfache

\frac{7}{2} \cdot \frac{2}{7} x^{\frac{2}{7} - 1} : \frac{1}{x ^{\frac{5}{7}}}

= \frac{1}{x ^{\frac{5}{7}}}

x \to 8 lim (\frac{x ^{2} - 64}{x ^{2} - 8 x})

\frac{\partial}{\partial x} (2 x + 1)

\int (\frac{8}{x ^{3}}) d x

t an g e n t f (x) = 2 x^{3} - 3 x^{2} - 16 x + 3, at x = - 4

\frac{d}{d x} ((e^{x})^{s i n (x)})