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 $x>\sqrt{2}$

Question

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 $x>\sqrt{2}$

Only P and Q

Only P and R

Only Q and R

All P, Q and R

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