((−x^2+2)^(−1))' - Wolfram|Alpha

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Derivative

d/dx(1/(-x^2 + 2)) = (2 x)/(2 - x^2)^2

Alternate form

(2 x)/(x^2 - 2)^2

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

Root

x = 0

Series expansion at x=0

x/2 + x^3/2 + (3 x^5)/8 + O(x^6)
(Taylor series)

Big‐O notation »

Series expansion at x=∞

2/x^3 + 8/x^5 + O((1/x)^7)
(Laurent series)

Big‐O notation »

Indefinite integral

integral(2 x)/(2 - x^2)^2 dx = 1/(2 - x^2) + constant

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