Questions
lf is a monotonically decreasing function of x in the largest possible interval (-2, -2/3). Then
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By Expert Faculty of Sri Chaitanya
a
λ=4
b
λ=2
c
λ=-1
d
λ has no real value
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Correct option is A
Here, f′(x)≤0or 3x2+8x+λ≤0 ∀x∈−2,−23Then situations form f '(x) are as follows: Given that /(*) decreases in the largest possible interval −2,−23.Then f'(x)=0must have roots -2 and -2/3.Thus, product roots =(−2)−23=λ3 or λ=4
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