What is the critical f(x)=x^6(x-3)^5 ?

The critical f(x)=x^6(x-3)^5 is x=0,x= 18/11 ,x=3

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critical f(x)=x^6(x-3)^5

critical points

f (x) = x^{6} (x - 3)^{5}

x = 0, x = \frac{18}{11}, x = 3

Solution steps

x^{6} (x - 3)^{5}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = \frac{18}{11}, x = 3

Identify critical points not in

f (x)

domain

Domain of

x^{6} (x - 3)^{5} : - \infty < x < \infty

All critical points are in domain

x = 0, x = \frac{18}{11}, x = 3

f (x) = x^{2} + x - 6

f (x) = x^{2} + 16 x + 60

f (x) = - \frac{1}{3} (x + 5)^{2} - 4

f (x) = 5 (x + 8) - 5

\frac{ln ( x )}{x}

What is the critical f(x)=x^6(x-3)^5 ?
The critical f(x)=x^6(x-3)^5 is x=0,x= 18/11 ,x=3