JEE Main 2025 Mathematics question
If the function , where a > 0, attains its local maximum and local minimum values at p and q, respectively, such that , then f(3) is equal to :
Answer: (2)
Solution
f'(x)=6(x–a)(x–2a)=0, x=a (max), x=2a (min). p²=q gives a²=2a, a=2. f(x)=2x³–18x²+48x+1, f(3)=37.