What is the critical x/(x^2+4) ?

The critical x/(x^2+4) is x=-2,x=2

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critical x/(x^2+4)

critical points

\frac{x}{x ^{2} + 4}

x = - 2, x = 2

Solution steps

\frac{x}{x ^{2} + 4}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} + 4} : - \infty < x < \infty

All critical points are in domain

x = - 2, x = 2

- cos (x)

- \frac{9}{2 x ^{\frac{3}{2}}}

y = 14 x + 1

f (x) = x^{3} - 7 x^{2} + 2

f (x) = x^{4} - 25