Question

Find the relative rate of change fro each of the following functions. f(x)=x^3 -3x^2

Answer 1

The rate of change is simply the derivative of a function with respect to the other variable. In this case the rate of change with respect to x is desired. Therefore 

f(x) = x^3 - 3x^2
f'(x) = 3x^2 - 6x

therefore the rate of change of y with respect to x is dy/dx = 3x^2 - 6x