Let f : R … R be defined as …. Then f is increasing function in the interval

Option C. …f'(x)\left\{ {\matrix{ { - 4{x^2} + 4x + 3} & {x > 0} \cr {3{e^x}(1 + x)} & {x \le 0} \cr

Application of Derivatives

JEE Main 2021 · 22 Jul, Evening shift · Q2720

MathematicsMedium175×since 2002Q2720

Let f : R

\to

R be defined as

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

. Then f is increasing function in the interval

JEE Main 2021 · 22 Jul, Evening shift · Q2720

MathematicsMedium175×since 2002Q2720

Let f : R

\to

R be defined as

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

. Then f is increasing function in the interval