Let f: R → R be a function defined by f(x) = (x - 3)ⁿ₁ (x - 5)ⁿ₂, n₁, n₂ N. Then, which of the following is NOT true?

(C) For n₁ = 3, n₂ = 5, there exists α (3, 5) where f attains local maxima.

(A) For n₁ = 3, n₂ = 4, there exists α (3, 5) where f attains local maxima.

(B) For n₁ = 4, n₂ = 3, there exists α (3, 5) where f attains local minima.

(D) For n₁ = 4, n₂ = 6, there exists α (3, 5) where f attains local maxima.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Evening shift · Q2784

JEE Main 202229 Jun, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

Let 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?