defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Calculus Applications of Derivatives
If at any instant t, for a sphere, r denotes the radius, S denotes the surface area and V denotes the volume, then what is \(\dfrac{dV}{dt}\) equal to?
1
\(\dfrac{1}{2} S \dfrac{dr}{dt}\)
2
\(\dfrac{1}{2}r \dfrac{dS}{dt}\)
3
\(r \dfrac{dS}{dt}\)
4
\(\dfrac{1}{2}r^2 \dfrac{dS}{dt}\)