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Beliebt Rechnen >

(1/x+x^2-2)^'

Lösung

(\frac{1}{x} + x^{2} - 2)^{^{'}}

Lösung

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

Schritte zur Lösung

(\frac{1}{x} + x^{2} - 2)^{'}

Wende die Summen-/Differenzregel an:

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

= (\frac{1}{x})^{^{'}} + (x^{2})^{^{'}} - 2^{^{'}}

(\frac{1}{x})^{'} = - \frac{1}{x ^{2}}

(x^{2})^{'} = 2 x

2^{'} = 0

= - \frac{1}{x ^{2}} + 2 x - 0

Vereinfache

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

Graph

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