Question
Real Analysis Question on Functions of One Real Variable
Let f : R→R be an infinitely differentiable function such that f" has exactly two distinct zeroes. Then
A
f' has at most 3 distinct zeroes
B
f' has at least 1 zero
C
f has at most 3 distinct zeroes
D
f has at least 2 distinct zeroes
Answer
f' has at most 3 distinct zeroes
Explanation
Solution
The correct option is (A) : f' has at most 3 distinct zeroes.