Question 845071
This is more of a question for you to try on *your* own graphing calculator (or Wolfram Alpha/Mathematica, or some other graphing software -- I'm not going to plot the function for you). Note that *[tex \large f'(x) = 20x^3 - 1], and it can be shown that a local minimum occurs at *[tex \large x = \sqrt[3]{\frac{1}{20}}]. If you graph f(x) on your calculator you should see the same result.