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Beliebt Rechnen >

derivative sqrt(x)+5/(sqrt(x))

Lösung

ableitung von

x + \frac{5}{x}

Lösung

\frac{1}{2 x} - \frac{5}{2 x ^{\frac{3}{2}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{2 x ^{\frac{3}{2}}}

= \frac{1}{2 x} - \frac{5}{2 x ^{\frac{3}{2}}}

Graph

Beliebte Beispiele

integral of (x^2-1)^2(3x^2)

\int (x^{2} - 1)^{2} (3 x^{2}) d x

(dx)/(dy)=e^{3x+2y}

\frac{d x}{d y} = e^{3 x + 2 y}

limit as x approaches 3 of 0/(x-3)

x \to 3 lim (\frac{0}{x - 3})

y^{''}-16y=(16x)/(e^{4x)}

y^{^{''}} - 16 y = \frac{16 x}{e ^{4 x}}

y^{''}+2y+y=2e^{-t}

y^{^{''}} + 2 y + y = 2 e^{- t}