Let f(x)=3x^3−7 A) List the critical point(s) of f= B)f′(x)>0f′(x)>0 for x∈= C)f′(x)<0f′(x)<0 for x∈= D)The...

Let f(x)=3x^3−7

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

B)f′(x)>0f′(x)>0 for x∈=

C)f′(x)<0f′(x)<0 for x∈=

D)The local maxima of ff occur at x=

E)=The local minima of ff occur at x=

nstructions:
For part (1), give your answer as a single value, or a list of values, or the word none .
For parts (2) and (3), give your answer as an interval or a union of intervals, such as (0,1) or (-inf, 2) U (3,4), or the word none.
For parts (4) and (5), give your answer as a comma separated list of xx-values, or the word none.

Note: You can earn partial credit on this problem.

Expert Solution

milcah answered 2 years ago

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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