What is the critical f(x)=25x^3-3x ?

The critical f(x)=25x^3-3x is x=-1/5 ,x= 1/5

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critical f(x)=25x^3-3x

critical points

f (x) = 25 x^{3} - 3 x

x = - \frac{1}{5}, x = \frac{1}{5}

Solution steps

25 x^{3} - 3 x

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{1}{5}, x = \frac{1}{5}

Identify critical points not in

f (x)

domain

Domain of

25 x^{3} - 3 x : - \infty < x < \infty

All critical points are in domain

x = - \frac{1}{5}, x = \frac{1}{5}

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

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

125 x + 1200

y = sin (x - 4) - 1

f (x) = \frac{9 x ^{2} - 49}{9 x - 21}

What is the critical f(x)=25x^3-3x ?
The critical f(x)=25x^3-3x is x=-1/5 ,x= 1/5