Problem:
Using the product rule, calculate the derivative of

y = (7 x^{3} - 8 x + 1) (3 x^{4} + 6 x^{2} + 5).

Visualization:
The following LiveMath Notebook shows the steps you would follow in doing this
problem. It is possible for you to change the functions for u and
v.
View an animation to see how this can be done.