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Application of Derivatives question

2021 · 24 Feb · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2021 · 24 Feb · Shift 1 · Q27

Application of Derivatives question

2021 · 24 Feb · Shift 1 · Q27

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

The function f(x) =

{{4{x^3} - 3{x^2}} \over 6} - 2\sin x + \left( {2x - 1} \right)\cos x

:

A
increases in $\left( { - \infty ,{1 \over 2}} \right]$
B
decreases in $\left( { - \infty ,{1 \over 2}} \right]$
C
increases in $\left[ {{1 \over 2},\infty } \right)$
D
decreases in $\left[ {{1 \over 2},\infty } \right)$

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