Okay, so I'm finding the derivative of y = (5x - 1)^2 (3x + 7)^3
I've gotten it to y' = (5x - 1)^2 times 9(3x + 7)^2 + 10(5x-1) times (3x + 7)^3
My question is: do I combine all of these terms together or do you typically just leave it in this form?
Another similar "procedural" type question: is it necessary to put in terms of y in order to differentiate? For instance...
Differentiate 17cos(x)sin(y) = 12
Would I have to put in terms of y and, if so, how would I do that? If I can simply differentiate straightforwardly, I think I can do it.