Hard· Maxima and minima· +4 / −1Let f:R→Rf:\mathbb R\to\mathbb Rf:R→R be a function defined by f(x)=(x−3)n1(x−5)n2f(x)=(x-3)^{n_1}(x-5)^{n_2}f(x)=(x−3)n1(x−5)n2, n1,n2∈Nn_1,n_2\in\mathbb Nn1,n2∈N. Then, which of the following is NOT true?AFor n1=3, n2=4n_1=3,\ n_2=4n1=3, n2=4, there exists α∈(3,5)\alpha\in(3,5)α∈(3,5) where fff attains local maxima.BFor n1=4, n2=3n_1=4,\ n_2=3n1=4, n2=3, there exists α∈(3,5)\alpha\in(3,5)α∈(3,5) where fff attains local minima.CFor n1=3, n2=5n_1=3,\ n_2=5n1=3, n2=5, there exists α∈(3,5)\alpha\in(3,5)α∈(3,5) where fff attains local maxima.DFor n1=4, n2=6n_1=4,\ n_2=6n1=4, n2=6, there exists α∈(3,5)\alpha\in(3,5)α∈(3,5) where fff attains local maxima.Check answerJust show me the answer
