y=sqrt(x-2) - Wolfram|Alpha

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Input

y = sqrt(x - 2)

Geometric figure

parabola

Plot

Plot

Plot

Root

x = 2

Properties as a real function

Domain

{x element R : x>=2}

Range

{y element R : y>=0} (all non-negative real numbers)

Injectivity

injective (one-to-one)

Partial derivatives

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

d/dy(sqrt(x - 2)) = 0

Implicit derivatives

(dx(y))/(dy) = 2 y

(dy(x))/(dx) = 1/(2 y)

Global minimum

min{sqrt(x - 2)} = 0 at x = 2

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