Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $f(x)=(x-3)^{n_1}(x-5)^{n_2}, n_1, n_2 \in N$. The, which of the following is NOT true?
Select the correct option:
A
For $\mathrm{n}_1=3, \mathrm{n}_2=4$, there exists $\alpha \in(3,5)$ where f attains local maxima.
B
For $\mathrm{n}_1=4, \mathrm{n}_2=3$, there exists $\alpha \in(3,5)$ where f attains local minima.
C
For $\mathrm{n}_1=3, \mathrm{n}_2=5$, there exists $\alpha \in(3,5)$ where f attains local maxima.
D
For $\mathrm{n}_1=4, \mathrm{n}_2=6$, there exists $\alpha \in(3,5)$ where f attains local maxima.
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