Question

Let y = f(x) = (x⁴ – x²)/(x⁶ + 2x³ – 1), x > 1 If the maximum value of y is a/b , where a, b ∈ N, find the value of (a + b + 2).

Answer 1

We have

For max or min, dy/dt = 0 gives

Hence, the maximum value of f(x) is 1/6

Therefore, the value of (a + b + 2) is 9.