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If S 1 and S 2 are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x 4 + 12x 3 – 36x 2 + 25, x ∈ R, then -

1. S 1 = {– 2, 0}; S 2 = {1}
2. S 1 = {– 1}; S 2 = {0, 2}
3. S 1 = {– 2, 1}; S 2 = {0}
4. S 1 = {– 2}; S 2 = {0, 1}

Correct answer: S 1 = {– 2, 1}; S 2 = {0}

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