Consider the following function.

$g(x)=\frac{x}{5+x^2}$

Find the first and second derivatives of the function.

$g^{\text{'}}(x)=$

$$

$g^{\text{'}\text{'}}(x)=$

$$

calcPa

Operatio

Function

Symbols

Relation

Sets

Vectors

Trig

Greek

Determine where the function is concave upward and where it is concave downward. $($Enter your answer using interval notation. If an answer does not exist, enter DNE.$)$

concave upward $$

concave downward $$