13 сент. 2017 г. · And our second derivative is V'' = 2(n-1)πn/2rn-2/Gamma(n/2). Although the two formulas do have the same power of r, as expected, otherwise they ... |
17 июн. 2014 г. · I noticed that when you differentiate the equation for a volume of a sphere, you get the equation for it's surface area. Is this a coincidence? |
1 июл. 2020 г. · Notice that V(B[ɛ](U)) basically plays the same role as the f(x + h) in the definition of derivative, and V(B[ɛ](U)) - V(U) measures the volume ... |
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). |
29 февр. 2016 г. · The derivative of a function is the rate of change in that function. Imagine we have a volume V(t) and we let t vary from t0 to t0 + h. We can ... |
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 ... |
28 мар. 2024 г. · In class, I noticed that for circles, the formula for circumference is 2πr, which happens to be the derivative of the area, πr2. |
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