MathematicsHard175×since 2002Q2784Let f : R →\to→ R be a function defined by f(x) = (x −-− 3)^n₁ (x −-− 5)^n₂, n₁, n₂ ∈\in∈ N. Then, which of the following is NOT true?AFor n₁ = 3, n₂ = 4, there exists α\alphaα ∈\in∈ (3, 5) where f attains local maxima.BFor n₁ = 4, n₂ = 3, there exists α\alphaα ∈\in∈ (3, 5) where f attains local minima.CFor n₁ = 3, n₂ = 5, there exists α\alphaα ∈\in∈ (3, 5) where f attains local maxima.DFor n₁ = 4, n₂ = 6, there exists α\alphaα ∈\in∈ (3, 5) where f attains local maxima.Check answerSkip