List of top Mathematics Questions on Application of derivatives asked in PSEB XII

Find the height of the right circular cone of maximum volume, which is inscribed in a sphere of radius 12cm.
Find the points on the curve \( y = 2x^3 - 3x^2 - 12x + 15 \) where rate of change of dependent variable with respect to the independent variable vanishes. What do we call these type of points?
The volume of spherical balloon is increasing at the rate of 25 c.c./s. Find the rate of change of its surface area at the instant when its radius is 5cm.
Radius of a circle is increasing at the rate of \( 2 \text{ m/s} \). Rate of change of its circumference is: