f(x)=−8x 2 −8x+96

Answer 1

You want the derivative?
d/dx (x^n) = n x^(n-1)

f(x)=−8x^2 −8x+96 I assume you mean
f'(x) = -16 x - 8

Answer 2

After reading this questions, I hopped on a tick like a hick on a moderately warm summer day