Question

can you get the y' of this:

y = (1-4x+7x^5) ^30

Answer 1

y' = 30(1 - 4x +7x^5)^29 ( -4 + 35x^4)

Answer 2

Yes, by the chain rule.

\[y'=30(1-4x+7x^{5})^{29}(-4+35x^{4})\]

Answer 3

i don't have to simplify them? is that it?

Answer 4

I really hope not. That would be horribly ugly to simplify.

Answer 5

yes thats it.

Answer 6

You can apply the 30 into the binomial and make\[(-120+1050x^{4})(1-4x+7x^{5})^{29}\] but that's as far as I'd want to go.

Answer 7

thanks.