What is the critical f(x)=-9+2x-x^3 ?

The critical f(x)=-9+2x-x^3 is x=-sqrt(2/3),x=sqrt(2/3)

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critical f(x)=-9+2x-x^3

critical points

f (x) = - 9 + 2 x - x^{3}

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

Solution steps

- 9 + 2 x - x^{3}

Find where

f^{'} (x)

is equal to zero or undefined

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

Identify critical points not in

f (x)

domain

Domain of

- 9 + 2 x - x^{3} : - \infty < x < \infty

All critical points are in domain

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

(- 3, - 12), (11, - 4)

y = x - 3

f (x) = \frac{x ^{2} + 3 x}{x ^{2} + 5 x + 6}

f (x) = 2 sin^{2} (24 x) + 3

f (x) = - 4

What is the critical f(x)=-9+2x-x^3 ?
The critical f(x)=-9+2x-x^3 is x=-sqrt(2/3),x=sqrt(2/3)