JEE Math Practice 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 $$x>\sqrt{2}$$

1. A.Only P and Q
2. B.Only P and R
3. C.Only Q and R
4. D.All P, Q and R