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Let f(x)=−(3x^3+8) (a) List the critical point(s) of f= (b) f′(x)>0f′(x)>0 for x∈= (c) f′(x)<0f′(x)<0 for...

Let f(x)=−(3x^3+8)

(a) List the critical point(s) of f=

(b) f′(x)>0f′(x)>0 for x∈=

(c) f′(x)<0f′(x)<0 for x∈=

Note: the answers to the above questions can be a value, a list of values, an interval, a union of intervals, or "NONE" if no values exist.

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