Question:medium

The function $f(x)=2x^3-9ax^2+12a^2x+1$ where $a>0$ attains its local maximum and local minimum at p and q respectively. If $p^2=q$ then a =

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To find and classify local extrema of a polynomial function, first find the roots of the first derivative ($f'(x)=0$). These are the critical points. Then, evaluate the second derivative at these points. If $f''(c)<0$, it's a local maximum. If $f''(c)>0$, it's a local minimum.

Updated On: Mar 30, 2026

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The Correct Option is B

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