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Beliebt Rechnen >

derivative of 1/(sqrt(x)-sqrt(x))

Lösung

\frac{d}{d x} (\frac{1}{x} - x)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x} - x)

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

integral of cos^8(4-x)sin(4-x)

\int cos^{8} (4 - x) sin (4 - x) d x

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

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

tangent f(x)=x^2-2x,(-2,8)

t an g e n t f (x) = x^{2} - 2 x, (- 2, 8)

derivative (x^2-1)/x

d er i v a t i v e \frac{x ^{2} - 1}{x}

derivative (3x^2-x-4)(-x^2+2)

d er i v a t i v e (3 x^{2} - x - 4) (- x^{2} + 2)