Q.If the function $f(x) = 2x^3 - 9ax^2 + 12a^2 x + 1$ has local maxima at $x = \alpha$ and local minima at $x = \beta$ , then $\alpha + \beta$ equals

3/2

2

5/2

3

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.If the function f(x)=2x3−9ax2+12a2x+1f(x) = 2x^3 - 9ax^2 + 12a^2 x + 1f(x)=2x3−9ax2+12a2x+1 has local maxima at x=αx = \alphax=α and local minima at x=βx = \betax=β, then α+β\alpha + \betaα+β equals