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Beliebt Rechnen >

derivative of (-2+x^2^{-1})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

25y^{''}+80y^'+64y=0

25 y^{^{''}} + 80 y^{^{'}} + 64 y = 0

integral of x^3sqrt(169-x^2)

\int x^{3} 169 - x^{2} d x

derivative of 2/(2x)

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

derivative of 2sin(x-sqrt(3))

\frac{d}{d x} (2 sin (x) - 3)

steigung y= 6/((x-1)^2),\at

s l o p e y = \frac{6}{( x - 1 ) ^{2}}, at