What is the critical-x^3-9x^2+14x+24 ?

The critical-x^3-9x^2+14x+24 is x=-(9+sqrt(123))/3 ,x=(sqrt(123)-9)/3

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critical-x^3-9x^2+14x+24

critical points

- x^{3} - 9 x^{2} + 14 x + 24

x = - \frac{9 + 123}{3}, x = \frac{123 - 9}{3}

Solution steps

- x^{3} - 9 x^{2} + 14 x + 24

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{9 + 123}{3}, x = \frac{123 - 9}{3}

Identify critical points not in

f (x)

domain

Domain of

- x^{3} - 9 x^{2} + 14 x + 24 : - \infty < x < \infty

All critical points are in domain

x = - \frac{9 + 123}{3}, x = \frac{123 - 9}{3}

f (x) = \frac{x ^{2} - 4 x - 12}{x + 1}

f (x) = \frac{18 x ^{2}}{9 x ^{2} + 5}

1 + x^{2}

- x^{3} + 9 x^{2} - 27 x + 8

\frac{1}{t}

What is the critical-x^3-9x^2+14x+24 ?
The critical-x^3-9x^2+14x+24 is x=-(9+sqrt(123))/3 ,x=(sqrt(123)-9)/3