My problem is this:

I've tried this multiple times, and I've gotten (1/16) or -(1/16).

Using L'Hospital's Rule, the derivative of the top fuction was:

cos(pi*e^x^8), which I calculated to be -1 after I put 0 in.

The bottom derivative turned out to be:

-16/(16*x^2+8*x+1)

I plugged in 0, and I got -16.

My homework still tells me that I'm wrong.