Local Maxima Minima and Product (Jee Mains)

Application of Derivates

Medium

Local Maxima Minima and Product

Let a > 0. If the function f(x) = 6x³– 45ax² + 108a²x + 1 attains its local maximum and minimum values at the points x₁and x₂ respectively such that x₁x₂ = 54, then a + x₁ + x₂ is equal to :-

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