What is the critical f(x)=2x(4-x)^3 ?

The critical f(x)=2x(4-x)^3 is x=1,x=4

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critical f(x)=2x(4-x)^3

critical points

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

x = 1, x = 4

Solution steps

2 x (4 - x)^{3}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = 4

Identify critical points not in

f (x)

domain

Domain of

2 x (4 - x)^{3} : - \infty < x < \infty

All critical points are in domain

x = 1, x = 4

x = y

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

f (x) = 7 - 9 x

f (x) = \frac{x ^{2} + 5 x + 6}{x ^{2} - 3 x - 10}

f (x) = \frac{5 x}{x - 2}