11. [0/1 Points] DETAILS PREVIOUS ANSWERS WAS LARCALC12 3.3.035.
MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER
Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c).
f(x) = 13x + \frac{1}{x}
(a) Find the critical numbers of $f$. (Enter your answers as a comma-separated list.)
x =
(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.
If an answer does not exist, enter DNE.)
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.)
relative maximum $(x, y) =
relative minimum $(x, y) =