more calculus trivia?

[spksccrchica216]

1. Consider the following function.
y = x^4 - 10x^2 + 9

Use analytic methods to find the local extrema, the intervals on which the function is increasing, and the intervals on which the function is decreasing. If something does not exist or is undefined, enter NONE.
a) find local extrema
b) find intervals on which the function is increasing.
c) find the intervals on which the function is decreasing

2. Use the derivative of the function y = f(x) to find the points at which f has a local maximum, local minimum, or point of inflection.
y ' = (x - 1)^2(x - 2)(x - 4)
a) at what point does the local max occur?
b) at what point does the local min occur?
c) at what points do points of inflection exist?