Verified answer

Since f(x) is a product of two functions, you need to use the product rule to find the derivative of f(x) or f '(x).

f '(x) = x^6 * d/dx(e^(8x)) + d/dx(x^6) * e^(8x)

= x^6 * 8e^(8x) + 6x^5 * e^(8x).

Now you factor out e^(8x) as your GCF to get

f '(x) = e^(8x)(x^6 + 6x^5). C = 6, E = 5, so C > E.

Ben

www.mcgaheemath.com