What is the critical f(x)=x^{1/11}(x-1)^2 ?

The critical f(x)=x^{1/11}(x-1)^2 is x=0,x= 1/23 ,x=1

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critical f(x)=x^{1/11}(x-1)^2

critical points

f (x) = x^{\frac{1}{11}} (x - 1)^{2}

x = 0, x = \frac{1}{23}, x = 1

Solution steps

x^{\frac{1}{11}} (x - 1)^{2}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{23}, x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

x^{\frac{1}{11}} (x - 1)^{2} : - \infty < x < \infty

All critical points are in domain

x = 0, x = \frac{1}{23}, x = 1

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

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

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

f (x) = 5 \cdot cos (\frac{2 \cdot π \cdot x}{3})

y = - tan (x - \frac{3 π}{2})

What is the critical f(x)=x^{1/11}(x-1)^2 ?
The critical f(x)=x^{1/11}(x-1)^2 is x=0,x= 1/23 ,x=1