What is the critical f(x)=(3x-2)/(-5x^2+2) ?

The critical f(x)=(3x-2)/(-5x^2+2) is x=(10-sqrt(10))/(15),x=(10+sqrt(10))/(15)

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critical f(x)=(3x-2)/(-5x^2+2)

critical points

f (x) = \frac{3 x - 2}{- 5 x ^{2} + 2}

x = \frac{10 - 10}{15}, x = \frac{10 + 10}{15}

Solution steps

\frac{3 x - 2}{- 5 x ^{2} + 2}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{10 - 10}{15}, x = \frac{10 + 10}{15}, x = - \frac{2}{5}, x = \frac{2}{5}

Identify critical points not in

f (x)

domain

Domain of

\frac{3 x - 2}{- 5 x ^{2} + 2} : x < - \frac{2}{5} or - \frac{2}{5} < x < \frac{2}{5} or x > \frac{2}{5}

\frac{3 x - 2}{- 5 x ^{2} + 2}

is not defined at

x = - \frac{2}{5}, x = \frac{2}{5}

, therefore:

x = \frac{10 - 10}{15}, x = \frac{10 + 10}{15}

What is the critical f(x)=(3x-2)/(-5x^2+2) ?
The critical f(x)=(3x-2)/(-5x^2+2) is x=(10-sqrt(10))/(15),x=(10+sqrt(10))/(15)