NTA Abhyas JEE Main2020MathematicsContinuity and DifferentiabilityPractice

If f x = max ⁡ x n , sin ⁡ π x , n ∈ N has maximum points of non-differentiability for x ∈ ( 0 , 4 ) , then n cannot be

Options

Correct answer

B. 2

Step-by-step solution

f x = max ⁡ x n , sin ⁡ π x Thus, for the maximum points of non-differentiability, graphs of y = x n and y = sin ⁡ π x must intersect at maximum number of points which occurs when n > 3.5

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