The Chain Rule is a formula for computing the derivative of the composition of two or more functions. It states that if you have a function y = f(g(x)), then the derivative y' = f'(g(x)) * g'(x).

f '(x) = x^6 (5 + 8x)^2 (35 + 80x) using the product and chain rules.

f '(x) = 30x^5 (x^6 + 4)^4 using the chain rule.

The derivative of a constant is zero.

Use the Product Rule: If u and v are functions, then (uv)' = u'v + uv'.

Use the Quotient Rule: If u and v are functions, then (u/v)' = (u'v - uv')/v^2.

f '(x) = nx^(n-1), where n is a constant.