JEE Main & Advanced
Mathematics
Applications of Derivatives
Question Bank
Numerical Value Type Questions - Monotonicity
question_answer
Let \[\phi \left( x \right)=f\left( x \right)+f\left( 2a-x \right)\] and \[f''\left( x \right)>0\,\,;\,\,\forall \,\,x\in \left[ 0,a \right].\] If \[\phi \left( x \right)\] is decreasing in \[\left[ 0,\lambda a \right]\] then find \[\lambda \].