List of top Mathematics Questions on Differential Calculus asked in CBSE CLASS XII

A cylindrical tank of radius 10 cm is being filled with sugar at the rate of 100π cm3/s. The rate at which the height of the sugar inside the tank is increasing is:

Find the general solution of the differential equation \( y \, dx - x \, dy + (x \log x) \, dx = 0 \).
The number of arbitrary constants in the general solution of the differential equation dy/dx + y = 0 is:
Check whether the function \( f(x) = x^2 |x| \) is differentiable at \( x = 0 \) or not.
Answer: \( f(x) \) is differentiable at \( x = 0 \).