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Let f(x)=sin^3x+lambdasin^2x ,pi/2<x<pi/...

Let `f(x)`=`sin^3x+lambdasin^2x` ,`pi/2`<`x`<`pi/2dot` Find the intervals in which `lambda` should lie in order that `f(x)` has exactly one minimum and exactly one maximum.

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