Even though these problems use the chain rule, I think my real problem isn't the differentiation, but the math used to simplify the answers to what the book shows. It's very frustrating.
Here is the first problem. Differentiate:
y = (2x-5)^4 (8x^2-5)^-3
I get to here (though I may have erred):
y' = -48x(2x-5)^4(8x^2-5)^-4 + 8(8x^2-5)^-3(2x-5)^3
but I can't find my way to the book's answer:
y' = 8(2x-5)^3(8x^2-5)^-4(-4x^2 + 30x -5)
Good luck folks! I think my solution is equivalent to the correct answer (feel free to check this with a calculator) but I can't see how to convert one into the other.
I wouldn't be worried about this except that it's happened on about 5 problems in a row now...