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  4. If f ( x )= x 3+ px 2+ qx + r , p , q , r ∈ R is monotonically decreasing in largest possible interval (-2,2) then the value of ( p - q /2) is equal to

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Q. If $f ( x )= x ^3+ px ^2+ qx + r , p , q , r \in R$ is monotonically decreasing in largest possible interval $(-2,2)$ then the value of $\frac{ p - q }{2}$ is equal to

Application of Derivatives

Solution:

$f ^{\prime}( x )=3 x ^2+2 Px + q < 0$
$=3\left(x^2-4\right) $

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