What is the critical 3x-x^3 ?

The critical 3x-x^3 is x=-1,x=1

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critical 3x-x^3

critical points

3 x - x^{3}

x = - 1, x = 1

Solution steps

3 x - x^{3}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1, x = 1

Identify critical points not in

f (x)

domain

Domain of

3 x - x^{3} : - \infty < x < \infty

All critical points are in domain

x = - 1, x = 1

f (x) = - 4 x + 9

f (x) = x^{3} + 5 x^{2} - 4 x - 20

(2, 4), (6, 5)

15 x + 9 y + 13 = 0

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