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Beliebt Rechnen >

derivative of 5/x+x/5

Lösung

\frac{d}{d x} (\frac{5}{x} + \frac{x}{5})

Lösung

- \frac{5}{x ^{2}} + \frac{1}{5}

Schritte zur Lösung

\frac{d}{d x} (\frac{5}{x} + \frac{x}{5})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{5}{x}) + \frac{d}{d x} (\frac{x}{5})

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

= - \frac{5}{x ^{2}} + \frac{1}{5}

Graph

Beliebte Beispiele

(dy)/(dx)=sqrt(16x+y)-16

\frac{d y}{d x} = 16 x + y - 16

integral of xln(1/x)

\int x ln (\frac{1}{x}) d x

steigung (1.1)(2.4)

s l o p e (1.1) (2.4)

tangent 5x-4sqrt(x)

t an g e n t 5 x - 4 x

integral of 9tan^2(x)sec(x)

\int 9 tan^{2} (x) sec (x) d x