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Beliebt Rechnen >

derivative of 1-4/(x^2)

Lösung

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

Lösung

\frac{8}{x ^{3}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (\frac{4}{x ^{2}})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{4}{x ^{2}}) = - \frac{8}{x ^{3}}

= 0 - (- \frac{8}{x ^{3}})

Vereinfache

= \frac{8}{x ^{3}}

Graph

Beliebte Beispiele

sum from n=1 to infinity of 2^nx^{n-1}

n = 1 \sum \infty 2^{n} x^{n - 1}

(\frac{4}{3} π r^{3})^{^{'}}

integral of-(x-1)^2

\int - (x - 1)^{2} d x

derivative f(x)=x^2e^{6x}

d er i v a t i v e f (x) = x^{2} e^{6 x}

derivative of cos(x-4tan(x))

\frac{d}{d x} (cos (x) - 4 tan (x))