JEE Main 2024 Mathematics question
Let f(x) = (x + 3)²(x – 2)³, x ∈ [–4, 4]. If M and m are the maximum and minimum values of f, respectively in [–4, 4], then the value of M – m is
Answer: (B)
Solution
f′(x) = 5(x − 2)²(x + 1)(x + 3). The sign of f′ changes from + to − at x = −3 (local maximum, f = 0) and from − to + at x = −1 (local
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