9 февр. 2021 г. · The area under a curve is the antiderivative, so it makes sense that volume and area are similarly related.

17 июн. 2014 г. · Similarly, the integral of a 3 dimensional function is it's volume. This would mean that the derivative of volume is the surface area.

15 мар. 2019 г. · The derivative is a rate of change. In this case, the derivative of the volume with respect to its radius is the surface area. What this means, ...

24 февр. 2016 г. · The volume of any hypersphere (n-dimensional version of a sphere) is Vn(r) and its derivative is the surface area of the hypersphere An(r).

27 окт. 2022 г. · Hi, I'm in calc, and I'm struggling. I just solved the derivative of a Sphere which is identical to it's surface area?

29 февр. 2016 г. · ... derivative. Therefore area is the derivative of volume because area is measuring the boundary of the volume and the size of the boundary is ...

30 нояб. 2017 г. · [Mathematics] The derivative of the volume of a sphere is the surface area. The derivative of the surface area is 8pi*r. What does this term ...

13 сент. 2017 г. · As such the second derivative of the volume is the first derivative of the area. The formula for the derivative of the area is given by the ...

18 мая 2014 г. · Yes. If S(r) is the surface area of a sphere of radius r, and dr is an infinitesimal change in the radius, then S(r) ...

6 мар. 2022 г. · The surface area of an object is the derivative of its volume with respect to its "radius". This is where it gets tricky... how do you define ...