In: Math
Given a general cubic function y = ax^3 + bx^2 + cx + d prove the following,
a) That a cubic must change at a quadratic rate.
I believe this to be the derivative of the general cubic function, yielding dy/dx = 3ax^2 + 3bx + c
b) That there are only 6 basic forms (shapes) for a cubic.
This question is where I get lost. Please help, Thanks!
To show that a cubic function must change at a quadratic rate and there are only 6 basic forms of a cubic function.