Let f(x)=3^{(x^2-2)^3+4}, x \in {\R}. Then which of the following statements are true? {\P}: x=0 is a point of local minima of f {\Q}: x=\sqrt{2} is a point of inflection of f R: f^{'} is increasing for x > \sqrt{2} [29-Jul-2022-Shift-1]

Correct Answer is : All P, Q and R

JEE Mains 29-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 20 of 90

Marks: +1, -0

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

[29-Jul-2022-Shift-1]

Only P and Q
Only P and R
Only Q and R
All P, Q and R

Validate

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