derivative of (80/(x^2))

Lösung

\frac{d}{d x} (\frac{80}{x ^{2}})

- \frac{160}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{80}{x ^{2}})

Entferne die Konstante:

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

= 80 \frac{d}{d x} (\frac{1}{x ^{2}})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= 80 \frac{d}{d x} (x^{- 2})

Wende die Potenzregel an:

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

= 80 (- 2 x^{- 2 - 1})

Vereinfache

80 (- 2 x^{- 2 - 1}) : - \frac{160}{x ^{3}}

= - \frac{160}{x ^{3}}

\frac{\partial}{\partial y} (9 x^{8 y})

d er i v a t i v e f (x) = (x - 1)^{2} (x - 2)^{3}

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

\frac{d}{d y} (\frac{x}{2 y ^{4}})

\frac{\partial}{\partial z} (x cos (y))