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Application of Derivatives question

2022 · 24 Jun · Shift 1 · Q30

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JEE Main
Mathematics
Application of Derivatives
2022 · 24 Jun · Shift 1 · Q30

Application of Derivatives question

2022 · 24 Jun · Shift 1 · Q30

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

The sum of absolute maximum and absolute minimum values of the function

f(x) = |2{x^2} + 3x - 2| + \sin x\cos x

in the interval [0, 1] is :

A
$3 + {{\sin (1){{\cos }^2}\left( {{1 \over 2}} \right)} \over 2}$
B
$3 + {1 \over 2}(1 + 2\cos (1))\sin (1)$
C
$5 + {1 \over 2}(\sin (1) + \sin (2))$
D
$2 + \sin \left( {{1 \over 2}} \right)\cos \left( {{1 \over 2}} \right)$

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