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Application of Derivatives question

2021 · 22 Jul · Shift 2 · Q25

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2021 · 22 Jul · Shift 2 · Q25

Application of Derivatives question

2021 · 22 Jul · Shift 2 · Q25

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let f : R

\to

R be defined as

f(x) = \left\{ {\begin{matrix} { - {4 \over 3}{x^3} + 2{x^2} + 3x,} & {x \gt 0} \\ {3x{e^x},} & {x \le 0} \\ \end{matrix} } \right.

. Then f is increasing function in the interval

A
$\left( { - {1 \over 2},2} \right)$
B
(0,2)
C
$\left( { - 1,{3 \over 2}} \right)$
D
( $-$ 3, $-$ 1)

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