What is the critical y=sqrt(x(a-x)) ?

The critical y=sqrt(x(a-x)) is None

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critical y=sqrt(x(a-x))

critical points

y = x (a - x)

None

Solution steps

x (a - x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{a}{2}

Identify critical points not in

f (x)

domain

Domain of

x (a - x) :

Undefined

x (a - x)

is not defined at

x = \frac{a}{2}

, therefore:

None

f (x, y) = y^{4} + 4 x^{2} y^{2} - 2 y^{2} + 2 x^{2} - 1

f (x) = 120 x^{2} - 2 x^{3}

f (x) = \frac{x}{- 2 - ln ( x )}

f (x) = x^{\frac{2}{3}} (x^{2} - 1)

y = \frac{x - 3}{x ^{2} - 3 x + 9}