Maxima and MinimaHard
Question
Given f(x) = 
If f(x) has a local minimum at x = 2, then which of the following is most appropriate
If f(x) has a local minimum at x = 2, then which of the following is most appropriate
Options
A.λ ≤ 5
B.λ ≥ 5
C.λ ≤ 0
D.λ ≥ 0
Solution
There are different possible figures for different values of λ.
Since f(x) is local minimum at x = 2
⇒
for a very small (+)ve h.
clearly λ ≤ 5
Since f(x) is local minimum at x = 2
⇒
for a very small (+)ve h.
clearly λ ≤ 5
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