Consider f(x) = x^4 - 4x^3

Can you help be solve this problem for:

a) Interval where the function is increasing

b) interval where function is decreasing

c) identify point(s) (x,y) where the function has a local maximum or minumum

d) Interval where the function is concave up

e) interval where the function is concave down

c) any point(s) of inflection (x,y)

I get very confused with this type of comprehensive problem, but would appreciate any help you can give. :) Thank you!