The side lengths are increasing over time, so x is a function of t.
To start, I always find it helps to write equations for everything you do know, and also to write down in mathematical terms what it is you are trying to find out. Can you do this?
The volume of a cube increases at a constant rate of 10cm^3 per second . Find the rate of change in its total surface area at the instant when the sides are 20cm long.
I know that rate of change means I have to involve derivatives. The surface area formula for a cube = the length of a side say (x^2) x6 and the volume of a cube is x^2 x height .
I don't know how to form an equation in terms of time.
Please Help
The side lengths are increasing over time, so x is a function of t.
To start, I always find it helps to write equations for everything you do know, and also to write down in mathematical terms what it is you are trying to find out. Can you do this?