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Beliebt Rechnen >

derivative of 9/(x^3+1/x)

Lösung

\frac{d}{d x} (\frac{9}{x ^{3}} + \frac{1}{x})

Lösung

- \frac{27}{x ^{4}} - \frac{1}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{9}{x ^{3}} + \frac{1}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{9}{x ^{3}}) + \frac{d}{d x} (\frac{1}{x})

\frac{d}{d x} (\frac{9}{x ^{3}}) = - \frac{27}{x ^{4}}

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

= - \frac{27}{x ^{4}} - \frac{1}{x ^{2}}

Graph

Beliebte Beispiele

integral from 0 to 1 of (x^3)^2

\int_{0}^{1} (x^{3})^{2} d x

implicit (dy)/(dx),e^xy=5

im pl i c i t \frac{d y}{d x}, e^{x} y = 5

derivative of \sqrt[4]{x^3}

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

derivative y=(4x)/(x+2)

d er i v a t i v e y = \frac{4 x}{x + 2}

t(dy)/(dt)=t^3+11t^3y

t \frac{d y}{d t} = t^{3} + 11 t^{3} y