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Beliebt Rechnen >

(\partial)/(\partial x)(c/(x^2))

Lösung

\frac{\partial}{\partial x} (\frac{c}{x ^{2}})

Lösung

- \frac{2 c}{x ^{3}}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{c}{x ^{2}})

Entferne die Konstante:

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

= c \frac{\partial}{\partial x} (\frac{1}{x ^{2}})

Wende Exponentenregel an:

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

= c \frac{\partial}{\partial x} (x^{- 2})

Wende die Potenzregel an:

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

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

Vereinfache

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

= - \frac{2 c}{x ^{3}}

Beliebte Beispiele

sum from n=5 to infinity of 4/(7^n)

n = 5 \sum \infty \frac{4}{7 ^{n}}

integral of u^{-1/2}

\int u^{- \frac{1}{2}} d u

(\partial)/(\partial x)(sin^2(x-y))

\frac{\partial}{\partial x} (sin^{2} (x - y))

tangent y=2+5x^2-2x^3

t an g e n t y = 2 + 5 x^{2} - 2 x^{3}

integral of (3x-16)^7

\int (3 x - 16)^{7} d x