What is the critical x-7x^{1/7} ?

The critical x-7x^{1/7} is x=0,x=1

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critical x-7x^{1/7}

critical points

x - 7 x^{\frac{1}{7}}

x = 0, x = 1

Solution steps

x - 7 x^{\frac{1}{7}}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

x - 7 x^{\frac{1}{7}} : - \infty < x < \infty

All critical points are in domain

x = 0, x = 1

\frac{1}{2} 4^{x}

\frac{( x - 4 )}{( x + 5 )}

(- 5, 2), (0, 0)

\frac{2}{3}

\frac{3 x}{x - 2}