What is the critical f(x)=(x^3)/(x^2+1) ?

The critical f(x)=(x^3)/(x^2+1) is x=0

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critical f(x)=(x^3)/(x^2+1)

critical points

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

x = 0

Solution steps

\frac{x ^{3}}{x ^{2} + 1}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{3}}{x ^{2} + 1} : - \infty < x < \infty

All critical points are in domain

x = 0

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

f (x) = \frac{3 x}{x + 4}

f (x) = x (x - 1) (2 x - 1)

f (x) = \frac{3}{x + 4}

f (x) = \frac{1}{2} cot (π x)

What is the critical f(x)=(x^3)/(x^2+1) ?
The critical f(x)=(x^3)/(x^2+1) is x=0