Question

The function f(x) = e^x has a derivative where f(x) = f'(x). Determine a function where f'(x) = 2f(x)

Answer 1

f(x) = Ce^(2x) where C is a constant

Step-by-step explanation:

A function where f'(x) = 2f(x) is f(x) = Ce^(2x) where C is a constant. This can be determined by using the chain rule and the fact that the derivative of e^x is e^x.