Final answer:
The derivative of f(x) = 6sin(x) + cos(x) at c = 2π is 6cos(2π) - sin(2π).
Step-by-step explanation:
The derivative of f(x) = 6sin(x) + cos(x) at c = 2π can be found by applying the derivative rules. Since the derivative of sin(x) is cos(x) and the derivative of cos(x) is -sin(x), the derivative of 6sin(x) + cos(x) is 6cos(x) - sin(x). Therefore, the derivative of f(x) at c = 2π is 6cos(2π) - sin(2π).