What is the critical f(x)=x^6(x-2)^5 ?

The critical f(x)=x^6(x-2)^5 is x=0,x= 12/11 ,x=2

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critical f(x)=x^6(x-2)^5

critical

x = 0, x = \frac{12}{11}, x = 2

Solution steps

x^{6} (x - 2)^{5}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = \frac{12}{11}, x = 2

Identify critical points not in

f (x)

domain

Domain of

x^{6} (x - 2)^{5} : - \infty < x < \infty

All critical points are in domain

x = 0, x = \frac{12}{11}, x = 2

What is the critical f(x)=x^6(x-2)^5 ?
The critical f(x)=x^6(x-2)^5 is x=0,x= 12/11 ,x=2