JEE Main & Advanced
Mathematics
Applications of Derivatives
Question Bank
Numerical Value Type Questions - Maxima and Minima
question_answer
If the function \[f\left( x \right)=2{{x}^{3}}-9a{{x}^{2}}+12{{a}^{2}}x+1\] where \[a>0,\] attains its maximum and minimum at p and q respectively such that \[{{p}^{2}}=q\], then find a.