What is the critical (sqrt(4x^2+2))/(3x-1) ?

The critical (sqrt(4x^2+2))/(3x-1) is x=-3/2

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critical (sqrt(4x^2+2))/(3x-1)

critical points

\frac{4 x ^{2} + 2}{3 x - 1}

x = - \frac{3}{2}

Solution steps

\frac{4 x ^{2} + 2}{3 x - 1}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{3}{2}, x = \frac{1}{3}

Identify critical points not in

f (x)

domain

Domain of

\frac{4 x ^{2} + 2}{3 x - 1} : x < \frac{1}{3} or x > \frac{1}{3}

\frac{4 x ^{2} + 2}{3 x - 1}

is not defined at

x = \frac{1}{3}

, therefore:

x = - \frac{3}{2}

What is the critical (sqrt(4x^2+2))/(3x-1) ?
The critical (sqrt(4x^2+2))/(3x-1) is x=-3/2