List of top Mathematics Questions on Maxima and Minima asked in UPSEE

The maximum value of the function $y = 2 \, \tan \, x - \tan^2 \, x $ over $\left[ 0 , \frac{\pi}{2} \right]$ is :
The point of inflection of the function $y - \int^{x}_{0} \left(t^{2} - 3t + 2 \right) dt $ is