What is the critical f(x)=2x^3-24x^2+72x ?

The critical f(x)=2x^3-24x^2+72x is x=2,x=6

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critical f(x)=2x^3-24x^2+72x

critical points

f (x) = 2 x^{3} - 24 x^{2} + 72 x

x = 2, x = 6

Solution steps

2 x^{3} - 24 x^{2} + 72 x

Find where

f^{'} (x)

is equal to zero or undefined

x = 2, x = 6

Identify critical points not in

f (x)

domain

Domain of

2 x^{3} - 24 x^{2} + 72 x : - \infty < x < \infty

All critical points are in domain

x = 2, x = 6

x^{2} - 8 x - 5

\frac{7 x}{x + 4}

- x^{2} + 4

(6, - 2), (4, 6)

y = 8 x - 3

What is the critical f(x)=2x^3-24x^2+72x ?
The critical f(x)=2x^3-24x^2+72x is x=2,x=6