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Beliebt Rechnen >

derivative of 3x+1/x

Lösung

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

Lösung

3 - \frac{1}{x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x) = 3

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

= 3 - \frac{1}{x ^{2}}

Graph

Beliebte Beispiele

integral from-8 to 2 of sqrt(16-6x)-x

\int_{- 8}^{2} 16 - 6 x - x d x

integral of 2/(sqrt(x^2+1))

\int \frac{2}{x ^{2} + 1} d x

x^{2} y^{^{'}} = x y + 3 y^{2}

\frac{d s}{d s}

limit as x approaches 0 of cos^{2/x}(x)

x \to 0 lim (cos^{\frac{2}{x}} (x))