JEE Main & Advanced
Mathematics
Applications of Derivatives
Question Bank
Numerical Value Type Questions - Monotonicity
question_answer
If the complete set of values of x in which \[f\left( x \right)=2{{\log }_{e}}\left( x-2 \right)-{{x}^{2}}+4x+1\] increases, is \[\left( a+b \right)\] then find \[a\text{ }+\text{ }b\].