derivative of (x^{12}/(x^{-2)})

Lösung

\frac{d}{d x} (\frac{x ^{12}}{x ^{- 2}})

14 x^{13}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{12}}{x ^{- 2}})

Vereinfache

\frac{x ^{12}}{x ^{- 2}} : x^{14}

= \frac{d}{d x} (x^{14})

Wende die Potenzregel an:

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

= 14 x^{14 - 1}

Vereinfache

= 14 x^{13}

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

x \to 0 - lim (2 x e^{2 x} + k x)

u d x + (1 - 3 u) x d u = 3 u d u

\int \frac{7}{x} d x

\frac{\partial}{\partial x} (e^{x + y + 8})