Let f: R → R be defined as f(x) = \ - 4/3x³ + 2x² + 3x, x > 0 3x eˣ, x ≤ 0.. Then f is increasing function in the interval

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 22 Jul, Evening shift · Q2720

JEE Main 202122 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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

JEE Main 202122 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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