Essay
Provide an appropriate response.
-Consider the quartic function f(x) = a + b
+ c
+ dx + e, a ≠ 0. Must this function have at least one critical point? Give reasons for your answer. (Hint: Must
for some x?) How many local extreme values can f have?
Correct Answer:

Verified
Yes. The derivative is cubic: 4a
+ 3b
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Correct Answer:
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