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Beliebt Rechnen >

derivative f(x)= 1/(x^2)+1/(x^3)

Lösung

ableitung von

f (x) = \frac{1}{x ^{2}} + \frac{1}{x ^{3}}

Lösung

- \frac{2}{x ^{3}} - \frac{3}{x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{2}} + \frac{1}{x ^{3}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{x ^{2}}) + \frac{d}{d x} (\frac{1}{x ^{3}})

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

\frac{d}{d x} (\frac{1}{x ^{3}}) = - \frac{3}{x ^{4}}

= - \frac{2}{x ^{3}} - \frac{3}{x ^{4}}

Graph

Beliebte Beispiele

\frac{d y}{d x} = y - 5

derivative of (log_{2}(x)/x)

\frac{d}{d x} (\frac{lo g _{2} ( x )}{x})

derivative (x^2)/(x-4)

d er i v a t i v e \frac{x ^{2}}{x - 4}

tangent y=x^2+3,(-2,7)

t an g e n t y = x^{2} + 3, (- 2, 7)

integral from 0 to pi/2 of 45cos^5(x)

\int_{0}^{\frac{π}{2}} 45 cos^{5} (x) d x