What is the critical f(x)=x^3+3x^2-144x ?

The critical f(x)=x^3+3x^2-144x is x=-8,x=6

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critical f(x)=x^3+3x^2-144x

critical points

f (x) = x^{3} + 3 x^{2} - 144 x

x = - 8, x = 6

Solution steps

x^{3} + 3 x^{2} - 144 x

Find where

f^{'} (x)

is equal to zero or undefined

x = - 8, x = 6

Identify critical points not in

f (x)

domain

Domain of

x^{3} + 3 x^{2} - 144 x : - \infty < x < \infty

All critical points are in domain

x = - 8, x = 6

(1, - 19), (1, 9)

\frac{x - 2}{2 x ^{2}}

\frac{2 ( x + 6 )}{3 x}

(- 1.1) (- 4)

f (x) = 169 - x^{2}

What is the critical f(x)=x^3+3x^2-144x ?
The critical f(x)=x^3+3x^2-144x is x=-8,x=6