Question

Write the volume V of a cube as a function of the side length s

Answer 1

Answer:

v=s cube

The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.

dv/ds(s cube) =3s square

We now plug in s=6

3s square = 3(6) square =108 cm cube/ s

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