JEE Main & Advanced
Mathematics
Applications of Derivatives
Question Bank
Numerical Value Type Questions - Monotonicity
question_answer
If \[f\left( x \right)=k{{x}^{3}}-9{{x}^{2}}+9x+3\] is monotonically increasing \[\forall \,\,x\in \,R\] and \[k\in \left[ \lambda ,\left. \infty \right), \right.\] then find value of\[\lambda \].