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Application of Derivatives question

2022 · 29 Jul · Shift 1 · Q40
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  5. /2022 · 29 Jul · Shift 1 · Q40

Application of Derivatives question

2022 · 29 Jul · Shift 1 · Q40

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Let f(x)=3(x2−2)3+4,x∈Rf(x)=3^{\left(x^{2}-2\right)^{3}+4}, x \in \mathrm{R}f(x)=3(x2−2)3+4,x∈R. Then which of the following statements are true? P:x=0\mathrm{P}: x=0P:x=0 is a point of local minima of fQ:x=2f\mathrm{Q}: x=\sqrt{2}fQ:x=2​ is a point of inflection of fR:f′fR: f^{\prime}fR:f′ is increasing for x>2x\gt \sqrt{2}x>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
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