MonotonicityMedium
Question
Consider the function f(x) = 
then the number of points in (0, 1) where the derivative f′(x) vanishes, is -
then the number of points in (0, 1) where the derivative f′(x) vanishes, is -Options
A.0
B.1
C.2
D.infinite
Solution
f(x) is continuous in [0, 1] & derivable in (0, 1)
Consider the interval
where n ∈I+
f(0) = f
⇒ f′(c) = 0 for atleast one c∈
we can have such infinite number of points.
Consider the interval
where n ∈I+f(0) = f
⇒ f′(c) = 0 for atleast one c∈
we can have such infinite number of points.
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