f S1 and S2 are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x^4 + 12x^3 – 36x^2 + 25,

Question

If S₁ and S₂ are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x⁴ + 12x³ – 36x² + 25, x ∈ R, then - 

(1)  S₁ = {– 2, 0}; S₂ = {1}

(2)  S₁ = {– 1}; S₂ = {0, 2}

(3)  S₁ = {– 2, 1}; S₂ = {0} 

(4)  S₁ = {– 2}; S₂ = {0, 1}

Answer 1

 Correct option  (3)  S₁ = {– 2, 1}; S₂ = {0}

Explanation: