What is the critical f(x)=x^6(x-4)^5 ?

The critical f(x)=x^6(x-4)^5 is x=0,x= 24/11 ,x=4

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critical f(x)=x^6(x-4)^5

critical points

f (x) = x^{6} (x - 4)^{5}

x = 0, x = \frac{24}{11}, x = 4

Solution steps

x^{6} (x - 4)^{5}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = \frac{24}{11}, x = 4

Identify critical points not in

f (x)

domain

Domain of

x^{6} (x - 4)^{5} : - \infty < x < \infty

All critical points are in domain

x = 0, x = \frac{24}{11}, x = 4

x - 2 y = - 4

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

f (x) = 1 + 2 x

\frac{4 x}{- 1 + 4 x}

f (x) = x^{4} - x^{2} + 5

What is the critical f(x)=x^6(x-4)^5 ?
The critical f(x)=x^6(x-4)^5 is x=0,x= 24/11 ,x=4