Let $\mathrm{f}:\mathrm{ℝ}\to \mathrm{ℝ}$be a function defined by $\mathrm{f}\left(\mathrm{x}\right)=(\mathrm{x}-3{)}^{{\mathrm{n}}_1}(\mathrm{x}-5{)}^{{\mathrm{n}}_2},{\mathrm{n}}_1,{\mathrm{n}}_2\in \mathrm{N}$The, which of the following is NOT true?

For n₁ = 3, n₂ = 4, there exists $\mathrm{\alpha }\in$ (3,5) where f attains local maxima.

For n₁ = 4, n₂ = 3, there exists $\mathrm{\alpha }\in$ (3,5) where f attains local manima

For n₁ = 3, n₂ = 5, there exists $\mathrm{\alpha }\in$ (3,5) where f attains local maxima.

For n₁ = 4, n₂ = 6, there exists $\mathrm{\alpha }\in$ (3,5) where f attains local maxima.