JEE Main 2024 Mathematics question

Let f(x) = x³ + x² f′(1) + x f″(2) + f‴(3), x ∈ R. Then f′(10) is equal to .

Answer: 202

Solution

f′(x) = 3x² + 2x f′(1) + f″(2), f″(x) = 6x + 2f′(1), f‴(x) = 6. So f″(2) = 12 + 2f′(1), and putting x = 1 in

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-016736