JEE Main 2022 Mathematics question
If [t] denotes the greatest integer , then number of points, at which the function f(x) = 4|2x + 3| + 9[x + 1/2] − 12[x + 20] is not differentiable in the open interval (−20, 20), is .
Answer: 79
Solution
The terms 9[x + 1/2] and −12[x + 20] are step functions whose jumps occur at the half-integers x = n + 1/2 and the integers x = n respectively, so f is not differentiable at the 39
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account