List of top Mathematics Questions on Continuity and differentiability asked in KCET

If the side of a cube is increased by 5%, then the surface area of a cube is increased by

The sides of an equilateral triangle are increasing at the rate of 4 cm/sec. The rate at which its area is increasing, when the side is 14 cm.

If $y =tan ^{-1} \sqrt {x^2-1}$ then the ratio $\frac {d^2y}{dx^2}: \frac {dy}{dx}$=_________