I know there are a thousand ways that people try to explain this. In Calculus for dummies it says (This * that + That * this). But this particular software package that I have called Mathtutor which is outstanding does it a bit differently.
I understand everything up until the last part.
Example: Y= ( -2t^2+1) * (3t^2-5)
Now heres the second to last step to solving the problem:
Y'= (-12 t^3+ 6t) + (-12 t^3+ 20t)
Ok folks. I understand that you have to add -12 t^3+ -12 t^3 to get 24 t^3. But what I don't understand is how you do the second part of the equation.
The answer is Y'= -24 t^3 + 26t
Sometimes from what my software is explaing the problems to me it adds up the last equation sometimes and other times it will do something like
Y'= -24 t^3 + 20 t - 6t. What I need to know is what do you descern to properly do the last part of the equation?