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Application of Derivatives question

2024 · 9 Apr · Shift 2 · Q57

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JEE Main
Mathematics
Application of Derivatives
2024 · 9 Apr · Shift 2 · Q57

Application of Derivatives question

2024 · 9 Apr · Shift 2 · Q57

JEE MainMathematicsApplication of DerivativesNumerical+4 / −1

Let the set of all values of

p

, for which

f(x)=\left(p^2-6 p+8\right)\left(\sin ^2 2 x-\cos ^2 2 x\right)+2(2-p) x+7

does not have any critical point, be the interval

(a, b)

. Then

16 a b

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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