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Beliebt Rechnen >

derivative of 1+3/x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 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 1/(50+t)

\int \frac{1}{50 + t} d t

derivative f(x)=3t^4-7t^3+2

d er i v a t i v e f (x) = 3 t^{4} - 7 t^{3} + 2

limit as x approaches 1 of sin(3pix)

x \to 1 lim (sin (3 p i x))

derivative e^{-20x}

d er i v a t i v e e^{- 20 x}

derivative of ln((3x/(x^2+4)))

\frac{d}{d x} (ln (\frac{3 x}{x ^{2} + 4}))