JEE Main 2025 Mathematics question

MathematicsApplication of DerivativesJEE Main 2025

Let f : R → R be a polynomial function of degree four having extreme values at x = 4 and x = 5. If , then f(2) is equal to

Answer: (2)

Solution

d=e=0, c=5, solving f'(4)=0 and f'(5)=0 gives a=1/8, b=-3/2. f(2)=10.

Question ID VK-003037