List of top Mathematics Questions on Maxima and Minima asked in CBSE CLASS XII

The slope of the curve \( y = -x^3 + 3x^2 + 8x - 20 \) is maximum at:

If \( f(x) = \lfloor x \rfloor \) is the greatest integer function, then the correct statement is:

If surface area \( S \) is constant, the volume \( V = \frac{1}{4}(Sx - 2x^3) \), \( x \) being the edge of the base. Show that the volume \( V \) is maximum for \( x = \frac{\sqrt{6}}{6} \).

What rebate in price of the calculator should the store give to maximise the revenue?

Determine the number of units (\( x \)) that should be sold to maximise the revenue \( R(x) = x \cdot p(x) \). Also verify the result.