Calculus (pleas help!)
posted by Karku .
Consider the function f(x)=12x^5+60x^4−100x^3+4. For this function there are four important intervals: (−INF,A], [A,B] ,[B,C] , and [C,INF) where A, B, and C are the critical numbers. Find A, B, and C.
At each critical number A, B, and C does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER.
Sorry to post another question but I have problems with this one too...

For B I have 0 and for C 1
I guess A will be local max B will be the local neither, c local min
I don't know which will be the value of A because when I graph it, it's actually a value really close to 0, and I have pluged, 1, 0.1, 0.2, 0.3 and 0.5 but none of them are the answer 
A=5
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