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Beliebt Rechnen >

derivative of ax+b/x

Lösung

\frac{d}{d x} (a x + \frac{b}{x})

Lösung

a - \frac{b}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (a x + \frac{b}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a x) + \frac{d}{d x} (\frac{b}{x})

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

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

= a - \frac{b}{x ^{2}}

Graph

Beliebte Beispiele

derivative of (e^x/(x^2-1))

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

integral of x*sin(x)cos(x)

\int x \cdot sin (x) cos (x) d x

sum from n=7 to infinity of 1/(nln(n))

n = 7 \sum \infty \frac{1}{n ln ( n )}

integral from 0 to 3 of |x^2-9|

\int_{0}^{3} x^{2} - 9 d x

integral of-e^{-2x}

\int - e^{- 2 x} d x