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Answer the Problem f(x)=∣x3−9x∣f ( x ) = \left| x ^ { 3 } - 9 x \right|

Question 408

Essay

Answer the problem.
-Let f(x)=∣x3−9x∣f ( x ) = \left| x ^ { 3 } - 9 x \right|
(a) Does f′(0)f ^ { \prime } ( 0 ) exist?
(b) Does f′(3)\mathrm { f } ^ { \prime } ( 3 ) exist?
(c) Does f′(−3)f ^ { \prime } ( - 3 ) exist?
(d) Determine all extrema of ff .

Correct Answer:

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(a) No
(b) No
(c) No...

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