Let f(x)=3^(x^2-2)^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…

Let $\displaystyle f(x)=3^{\left(x^2-2\right)^3+4}, x \in \mathbf{R}$. Then which of the following statements are true ? $\displaystyle \mathrm{P}: x=0$ is a point of local minima of $\displaystyle f$ $\displaystyle \mathrm{Q}: x=\sqrt{2}$ is a point of inflection of $\displaystyle f$ $\displaystyle \mathrm{R}: f^{\prime}$ is increasing for $\displaystyle x>\sqrt{2}$