What is the critical f(x)=(2x-1)x^{2/3} ?

The critical f(x)=(2x-1)x^{2/3} is x=0,x= 1/5

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critical f(x)=(2x-1)x^{2/3}

critical points

f (x) = (2 x - 1) x^{\frac{2}{3}}

x = 0, x = \frac{1}{5}

Solution steps

(2 x - 1) x^{\frac{2}{3}}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{5}, x = 0

Identify critical points not in

f (x)

domain

Domain of

(2 x - 1) x^{\frac{2}{3}} : - \infty < x < \infty

All critical points are in domain

x = 0, x = \frac{1}{5}

What is the critical f(x)=(2x-1)x^{2/3} ?
The critical f(x)=(2x-1)x^{2/3} is x=0,x= 1/5