derivative of (4374/(x^2))

Lösung

\frac{d}{d x} (\frac{4374}{x ^{2}})

- \frac{8748}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{4374}{x ^{2}})

Entferne die Konstante:

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

= 4374 \frac{d}{d x} (\frac{1}{x ^{2}})

Wende Exponentenregel an:

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

= 4374 \frac{d}{d x} (x^{- 2})

Wende die Potenzregel an:

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

= 4374 (- 2 x^{- 2 - 1})

Vereinfache

4374 (- 2 x^{- 2 - 1}) : - \frac{8748}{x ^{3}}

= - \frac{8748}{x ^{3}}

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

\int_{- 2}^{3} \frac{31}{x ^{4}} d x

\frac{d}{d x} (10)

a re a 4 x, 4, \frac{4}{x}, 0

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