Given a general cubic function y = ax^3 + bx^2 + cx + d prove the...

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Given a general cubic function y = ax^3 + bx^2 + cx + d provethe following,

a) That a cubic must change at a quadratic rate.

         I believe thisto 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 iswhere I get lost. Please help, Thanks!

Answer & Explanation Solved by verified expert
4.3 Ratings (579 Votes)
To show that a cubic    See Answer
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