JEE Main 2025 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2025

Let m and n be the number of points at which the function , , is not differentiable and not continuous, respectively. Then m + n is equal to

Answer: 3

Solution

f(x) is continuous everywhere so n=0. f'(x) has jump discontinuities at x=-1,0,1 so m=3. m+n=3

Question ID VK-002738