Question:medium

If the local maximum value of the real valued function \[ f(x)=2(x^3-1)-3ax(x+4a),\qquad a>0 \] is \(54\), then \(a=\)

Show Hint

To find the local maximum of a polynomial: \[ \boxed{\text{Find }f'(x)=0,\text{ then use }f''(x)\text{ to classify the critical points.}} \]
Updated On: Jul 18, 2026
  • \(4\)
  • \(2\)
  • \(9\)
  • \(27\)
Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?
0

Top Questions on Conic sections

Questions Asked in TS EAMCET exam