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JEE Main 2019 · 8 April · Shift I

JEE Main 2019 Mathematics question on Application of Derivatives

If S1S_1 and S2S_2 are respectively the sets of local minimum and local maximum points of the function, f(x)=9x4+12x3−36x2+25f(x) = 9x^4 + 12x^3 - 36x^2 + 25, x∈Rx \in R, then
  1. A.
    S1={−2}S_1 = \{-2\}; S2={0,1}S_2 = \{0, 1\}
  2. B.
    S1={−2,0}S_1 = \{-2, 0\}; S2={1}S_2 = \{1\}
  3. C.
    S1={−2,1}S_1 = \{-2, 1\}; S2={0}S_2 = \{0\}
  4. D.
    S1={−1}S_1 = \{-1\}; S2={0,2}S_2 = \{0, 2\}
Show answer

Correct option: C

[JEE Main 2019 · 8 April · Shift I]

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