What is the critical f(x)=-125/4 x^4+x ?

The critical f(x)=-125/4 x^4+x is x= 1/5

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critical f(x)=-125/4 x^4+x

critical points

f (x) = - \frac{125}{4} x^{4} + x

x = \frac{1}{5}

Solution steps

- \frac{125}{4} x^{4} + x

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{5}

Identify critical points not in

f (x)

domain

Domain of

- \frac{125}{4} x^{4} + x : - \infty < x < \infty

All critical points are in domain

x = \frac{1}{5}

What is the critical f(x)=-125/4 x^4+x ?
The critical f(x)=-125/4 x^4+x is x= 1/5