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Beliebt Rechnen >

derivative of x^2+5-3x^{-2}

Lösung

\frac{d}{d x} (x^{2} + 5 - 3 x^{- 2})

Lösung

2 x + \frac{6}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 5 - 3 x^{- 2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (5) - \frac{d}{d x} (3 x^{- 2})

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

\frac{d}{d x} (5) = 0

\frac{d}{d x} (3 x^{- 2}) = - \frac{6}{x ^{3}}

= 2 x + 0 - (- \frac{6}{x ^{3}})

Vereinfache

= 2 x + \frac{6}{x ^{3}}

Graph

Beliebte Beispiele

integral of x^5cos(y^4)

\int x^{5} cos (y^{4}) d x

(\partial)/(\partial u)(vcos(u))

\frac{\partial}{\partial u} (v cos (u))

(d^2)/(dx^2)(sin^2(x))

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

derivative of 4/(x^4-5\sqrt[3]{x})

\frac{d}{d x} (\frac{4}{x ^{4}} - 5 3 x)

integral of 5/(x^2+4)

\int \frac{5}{x ^{2} + 4} d x