Let f(x)=3^(x²-2)³+4, x R. Then which of the following statements are true? P: x=0 is a point of local minima of f Q: x=√(2) is a point of inflection of f R: f^() is increasing for x>√(2)

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Morning shift · Q2672

JEE Main 202229 Jul, Morning shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

Let

f(x)=3^{\left(x^{2}-2\right)^{3}+4}, x \in \mathrm{R}

. Then which of the following statements are true?

\mathrm{P}: x=0

is a point of local minima of

f

\mathrm{Q}: x=\sqrt{2}

is a point of inflection of

f

R: f^{\prime}

is increasing for

x>\sqrt{2}