derivate 2(sqrt(x)-1)^2 - Wolfram|Alpha

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Derivative

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

Plot

Plot

Plot

Alternate form

(2 (sqrt(x) - 1))/sqrt(x)

Root

x = 1

Properties as a real function

Domain

{x element R : x>0} (all positive real numbers)

Range

{y element R : y<2}

Injectivity

injective (one-to-one)

Indefinite integral

integral(2 - 2/sqrt(x)) dx = 2 x - 4 sqrt(x) + constant

Limit

lim_(x-> ± ∞)(2 - 2/sqrt(x)) = 2

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