Suppose that $f(x) = frac{4x}{x^2 + 100}$.
(A) Find all critical values of $f$. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) =
(B) Use interval notation to indicate where $f$ is increasing.
Note: When using interval notation in WeBWorK, you use I for $infty$, -I for $-infty$, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{}" without the quotation marks.
Increasing:
(C) Use interval notation to indicate where $f$ is decreasing. Decreasing:
(D) Find the $x$-coordinates of all local maxima of $f$. If there are no local maxima, enter -1000. If there are more than one, enter them separated by commas.
Local maxima at $x$ =
(E) Find the $x$-coordinates of all local minima of $f$. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas.
Local minima at $x$ =