25 мар. 2021 г. · Let s = the length of a side of the cube. The volume of the cube is: V = s^3. The rate of change in volume is dV/dt.

3 мар. 2020 г. · V = x^3 dV/dx = 3x^2 dV/dx the change of volume with respect to side measure x. dV/dx = 2(4)^2 = 32 The rate of change of the volume / rate of change

7 мая 2020 г. · First off, the volume formula for a cube is V = a3, where s is the length of a side (or edge) of the cube. In order to talk about rates, we'll ...

22 мар. 2021 г. · In order to find the max volume, we need to determine the maximum point on the volume graph, and to do that, we need to set the derivative of ...

20 окт. 2018 г. · Volume = cube of the side. The derivative of Volume with respect to time = 3 * side squared * derivative of side with respect to time.

6 июл. 2020 г. · Derivative of V = dv/dt = 3s2 * ds/dt. We know... 1. Volume decreases at a rate of 0.2 so dv/dt = -0.2. Plug in dv/dt: -0.2/3s2 = ds/dt. Edges ...

18 мар. 2022 г. · Cube Volume: V = xyz. One corner of the cube lies on the surface defined by: x2 + y2 + z = 1. Find: ( x, y, z ) = (?, ?, ?) Assume: x > 0. y ...

22 июл. 2019 г. · We are taking the derivative of both sides with respect to x. d/dx(V) = d/dx(x3) Using the power rule, we multiply by the power and then reduce ...

21 мар. 2021 г. · Volume (V) equals the side of the cube (s) cubed: V = s3 so take the derivative with respect to time (using the chain rule):.

9 июн. 2021 г. · V = x^3 where x is the length of each side. Next, we take the derivative with respect to time t. dV/dt = 3x^2 dx/dt.