derivative of sec^2 - Wolfram|Alpha

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Derivative

d/dx(sec^2(x)) = 2 tan(x) sec^2(x)

Alternate form assuming x is real

(8 sin(2 x) cos^2(x))/(cos(2 x) + 1)^3

Alternate form

(2 sin(x))/(cos^3(x))

(8 i (e^(-i x) - e^(i x)))/(e^(-i x) + e^(i x))^3

Series expansion at x=0

2 x + (8 x^3)/3 + (34 x^5)/15 + (496 x^7)/315 + O(x^9)
(Taylor series)

Big‐O notation »

Indefinite integral

integral2 sec^2(x) tan(x) dx = sec^2(x) + constant

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