derivative \sqrt[9]{x^8}-x^pi

Lösung

ableitung von

9 x^{8} - x^{π}

\frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}} - π x^{π - 1}

Schritte zur Lösung

\frac{d}{d x} (9 x^{8} - x^{π})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (9 x^{8}) - \frac{d}{d x} (x^{π})

\frac{d}{d x} (9 x^{8}) = \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}}

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}} - π x^{π - 1}

x \to 0 lim (\frac{∣ 6 x ∣}{3 x})

\frac{d}{d x} (7 x^{2} - 4 x)

d er i v a t i v e f (x) = \frac{x ^{5} - 5 x ^{2}}{2 x ^{5} + 5 x}

\frac{\partial}{\partial x} (3 x z^{3} e^{y^{2}})

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