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Beliebt Rechnen >

derivative f(x)= 1/5 x^2+(200000)/x

Lösung

ableitung von

f (x) = \frac{1}{5} x^{2} + \frac{200000}{x}

Lösung

\frac{2 x}{5} - \frac{200000}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{5} x^{2} + \frac{200000}{x})

Vereinfache

\frac{1}{5} x^{2} + \frac{200000}{x} : \frac{x ^{2}}{5} + \frac{200000}{x}

= \frac{d}{d x} (\frac{x ^{2}}{5} + \frac{200000}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{2}}{5}) + \frac{d}{d x} (\frac{200000}{x})

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

\frac{d}{d x} (\frac{200000}{x}) = - \frac{200000}{x ^{2}}

= \frac{2 x}{5} - \frac{200000}{x ^{2}}

Graph

Beliebte Beispiele

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