f(x) = 4x^2-x^3+1
a) Find all the critical numbers of f.
b) Use interval notation to indicate where f(x) is increasing.
c) Use interval notation to indicate where f(x) is decreasing.
d) List the x-coordinates of all local maxima of f.
e) List the x-coordinates of all local minima of f.
f) Use interval notation to indicate where f(x) is concave up.
g) Use interval notation to indicate where f(X) is concave down.
h) List the x values of all inflection points of f.