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Let f(x)=sin^(3)x+lambda sin^(2)x where ...

Let `f(x)=sin^(3)x+lambda sin^(2)x` where
`-pi//2ltxltpi//2.` Find the intervals in which `lambda` should lie in order that f(x) has exactly one minimum.

Text Solution

Verified by Experts

The correct Answer is:
`lambda in (-3/2, 3/2)`
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