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Beliebt Rechnen >

derivative f(x)=9+3/x

Lösung

ableitung von

f (x) = 9 + \frac{3}{x}

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (9) = 0

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

= 0 - \frac{3}{x ^{2}}

Vereinfache

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

Graph

Beliebte Beispiele

integral of (x/(x^2+4))

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

limit as x approaches 0-of (2^x-1)/x

x \to 0 - lim (\frac{2 ^{x} - 1}{x})

limit as x approaches 0-of e^{(1/x)}

x \to 0 - lim (e^{(\frac{1}{x})})

inverselaplace 4/(4s^2+1)

in v erse l a pl a ce \frac{4}{4 s ^{2} + 1}

integral of 1/4 e^{4x}

\int \frac{1}{4} e^{4 x} d x