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Beliebt Rechnen >

derivative of 6/x+x/6

Lösung

\frac{d}{d x} (\frac{6}{x} + \frac{x}{6})

Lösung

- \frac{6}{x ^{2}} + \frac{1}{6}

Schritte zur Lösung

\frac{d}{d x} (\frac{6}{x} + \frac{x}{6})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{6}{x}) + \frac{d}{d x} (\frac{x}{6})

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

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

= - \frac{6}{x ^{2}} + \frac{1}{6}

Graph

Beliebte Beispiele

integral of 10csc^2(x)

\int 10 csc^{2} (x) d x

derivative of sqrt(16(x+2^3))

\frac{d}{d x} (16 (x + 2)^{3})

derivative of 2^{(x/(20)})

\frac{d}{d x} (2^{(\frac{x}{20})})

(1-y/(x^2)e^{y/x})dx+(1+1/x e^{y/x})dy=0

(1 - \frac{y}{x ^{2}} e^{\frac{y}{x}}) d x + (1 + \frac{1}{x} e^{\frac{y}{x}}) d y = 0

(d^2)/(dx^2)((6x^2+4)^6)

\frac{d ^{2}}{d x ^{2}} ((6 x^{2} + 4)^{6})